64564500 has 384 divisors, whose sum is σ = 258306048. Its totient is φ = 12096000.

The previous prime is 64564481. The next prime is 64564501. The reversal of 64564500 is 546546.

64564500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×64564500³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64564501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1501479 + ... + 1501521.

It is an arithmetic number, because the mean of its divisors is an integer number (672672).

Almost surely, 2^64564500 is an apocalyptic number.

64564500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129153024).

64564500 is an abundant number, since it is smaller than the sum of its proper divisors (193741548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64564500 is a wasteful number, since it uses less digits than its factorization.

64564500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 64564500 is about 8035.2037933085. The cubic root of 64564500 is about 401.1726008259.

It can be divided in two parts, 645 and 64500, that multiplied together give a square (41602500 = 6450²).

The spelling of 64564500 in words is "sixty-four million, five hundred sixty-four thousand, five hundred".