64656 has 30 divisors (see below), whose sum is σ = 181350. Its totient is φ = 21504.

The previous prime is 64633. The next prime is 64661. The reversal of 64656 is 65646.

64656 is a `hidden beast` number, since 6 + 4 + 656 = 666.

64656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 7056 = 240^2 + 84^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (6045).

2⁶⁴⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

64656 is an abundant number, since it is smaller than the sum of its proper divisors (116694).

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

64656 is a wasteful number, since it uses less digits than its factorization.

64656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 64656 is about 254.2754412050. The cubic root of 64656 is about 40.1362023632.

Subtracting 64656 from its reverse (65646), we obtain a triangular number (990 = T₄₄).

The spelling of 64656 in words is "sixty-four thousand, six hundred fifty-six".