64 is an even composite number. It is composed of a single prime number multiplied by itself five times.

64 is an even composite number. It is composed of one distinct prime number multiplied by itself five times. It has a total of seven divisors.

Prime factorization of 64:


(2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 64 from the Numbermatics database.

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Names Factors Divisors Scales Roots Fun

Names of 64

  • Cardinal: 64 can be written as Sixty-four.

Scientific notation

  • Scientific notation: 6.4 × 101

Factors of 64

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 2

Divisors of 64

  • Number of divisors d(n): 7
  • Complete list of divisors:
    1 2 4 8 16 32 64
  • Sum of all divisors σ(n): 127
  • Sum of proper divisors (its aliquot sum) s(n): 63
  • 64 is a deficient number, because the sum of its proper divisors (63) is less than itself. Its deficiency is 1

Bases of 64

  • Binary: 1000000 2
  • Hexadecimal: 0x40

Squares and roots of 64

  • 64 squared (642) is 4096
  • 64 cubed (643) is 262144
  • 64 is a perfect square number. Its square root is 8
  • 64 is a perfect cube number. Its cube root is 4
  • Being both a perfect square and a perfect cube, 64 is also a perfect sixth number.

Scales and comparisons

How big is 64?
  • 64 seconds is equal to 1 minute, 4 seconds.
  • To count from 1 to 64 would take you about thirty-two seconds.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000.

    Note: we do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!

  • A cube with a volume of 64 cubic inches would be around 0.3 feet tall.

Recreational maths with 64

  • 64 backwards is 46
  • The number of decimal digits it has is: 2
  • The sum of 64's digits is 10
  • More coming soon!

The information we have on file for 64 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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