57996864 has 56 divisors (see below), whose sum is σ = 170505120. Its totient is φ = 19331712.

The previous prime is 57996863. The next prime is 57996901. The reversal of 57996864 is 46869975.

57996864 is a `hidden beast` number, since 579 + 9 + 6 + 8 + 64 = 666.

57996864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 57996864.

It is not an unprimeable number, because it can be changed into a prime (57996863) 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 7 ways as a sum of consecutive naturals, for example, 15054 + ... + 18509.

Almost surely, 2^57996864 is an apocalyptic number.

57996864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

57996864 is an abundant number, since it is smaller than the sum of its proper divisors (112508256).

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

57996864 is a wasteful number, since it uses less digits than its factorization.

57996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33584 (or 33568 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 57996864 is about 7615.5672145941. The cubic root of 57996864 is about 387.0806874605.

The spelling of 57996864 in words is "fifty-seven million, nine hundred ninety-six thousand, eight hundred sixty-four".