Numberwise

640

640 kilobytes was the conventional memory limit of the original IBM PC architecture.

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Where 640 fits

Where 640 fits: Mathematics, Science, Related numbersMathematics: Harshad (Niven) number. Science: Units and measurement. Related numbers: 1024.MathematicsHarshad (Niven) numberScienceUnits and measurementRelated numbers1024640
640 connects to 3 worlds: mathematics, science, related numbers.

Why 640 is special

The limit was real: the 8088's one-megabyte address space reserved everything above 640 KB for hardware, so software got what was left. The famous quotation about 640K being enough for anybody is attributed to Bill Gates, who has denied saying it, and no contemporary source for it has been found.

640 connects to:

  • numbers in measurement appears in
  • 1024 is associated with

640 is part of

Factors & digit properties

Divisors (16)
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Prime factorisation
2^7 × 5
Digit sum
10
Digital root
1

Representations

Decimal
640
Scientific notation
6.400 × 10^2

Roman numerals

D C X L

DCXL uses the subtractive pair XL: ten before fifty — fifty minus ten.

Binary

1 0 1 0 0 0 0 0 0 0

1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 640

Octal

1 2 0 0

1 × 512 + 2 × 64 + 0 × 8 + 0 × 1 = 640

Hexadecimal

2 8 0

2 × 256 + 8 × 16 + 0 × 1 = 640

Read as powers of two: 512 + 128 = 640.

In historical numeral systems

Egyptian

6 coils of rope, 4 hobbles

6 × 100 + 4 × 10 = 640. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

1 corner wedge (sixties place), 4 corner wedges (units place)

10 × 60 + 40 = 640. Places are separated by a space on the tablet, with the higher place written first.

Greek (Ionic)

chi, then mu, marked as a numeral

chi-mu + keraia

chi + mu written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.

Hebrew numerals

tav, then resh, then mem

tav-resh-mem

tav (400) + resh (200) + mem (40) = 640, written in descending order.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
640 appears in Numbers in measurement, the topic covering numbers that carry a documented measurement fact.

640 appears in Numbers in measurement, the topic covering numbers that carry a documented measurement fact.

Connection
The original PC could address 1,024 KB and reserved everything above 640 KB for hardware, leaving software the remainder. The limit was a consequence of the memory map, not of the processor's arithmetic.

The original PC could address 1,024 KB and reserved everything above 640 KB for hardware, leaving software the remainder. The limit was a consequence of the memory map, not of the processor's arithmetic.

View 1024

Numbers Around Us

  • appears inUnits and measurement
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with1024
    why?

    Strength 0.50, confidence "high".

How is 640 connected to another number? →

Science

  • There are 640 acres in a square mile (United States and the United Kingdom). The acre began as the area one team of oxen could plough in a day, which is why it is a long thin shape — one furlong by one chain — rather than a square.

    DocumentedScienceGeography: United States and the United Kingdom

Technology & computing

  • VGA, introduced by IBM in 1987, made 640 × 480 the baseline display mode that every PC could be assumed to support, and it stayed the safe-mode fallback in Windows for two decades. Its 4:3 shape and 307,200 pixels set the reference point later modes were described against — 800 × 600 and 1024 × 768 are both steps up the same ladder. The number is unrelated to the 640 KB memory limit despite both belonging to the same machine.

    DocumentedTechnology & computingPeriod: 1987 onwards
  • The 8088 could address one megabyte and the architecture reserved everything above 640 KB for hardware, so software received what was left. The limit was genuine and shaped a decade of DOS programming. The famous remark that 640K ought to be enough for anybody is attributed to Bill Gates, who has denied it, and no contemporary source has ever been produced.

    DocumentedTechnology & computing

Mathematics

  • 640 is 128 × 5, which is why it appears at the boundaries of byte-organised systems without being a power of two itself: it is the largest multiple of a power of two that fits under a round decimal figure in several of the places it turns up. 640 KB is 655,360 bytes, and 640 × 480 is 307,200 pixels — neither is a round number in the units that matter to the hardware.

    DocumentedMathematics

Common questions

Did Bill Gates say 640K ought to be enough for anybody?

He has denied it, and no contemporary source for the remark has ever been produced. The limit itself was real: the 8088 could address one megabyte and the IBM PC architecture reserved everything above 640 KB for hardware, so software got what was left. That constraint shaped a decade of DOS programming regardless of who did or did not say anything about it.

Is 640 a prime number?

No, 640 is not prime.

What are the factors of 640?

The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.

What is 640 in Roman numerals?

640 in Roman numerals is DCXL. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be DCXXXX, which Roman inscriptions used freely — the strict subtractive form is a later convention.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 4 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026