57564864 has 112 divisors (see below), whose sum is σ = 193446400. Its totient is φ = 16443648.

The previous prime is 57564853. The next prime is 57564877. The reversal of 57564864 is 46846575.

57564864 is a `hidden beast` number, since 5 + 7 + 564 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9717 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (1727200).

Almost surely, 2^57564864 is an apocalyptic number.

57564864 is a gapful number since it is divisible by the number (54) 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 57564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96723200).

57564864 is an abundant number, since it is smaller than the sum of its proper divisors (135881536).

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

57564864 is a wasteful number, since it uses less digits than its factorization.

57564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4787 (or 4771 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 57564864 is about 7587.1512440441. The cubic root of 57564864 is about 386.1172113998.

The spelling of 57564864 in words is "fifty-seven million, five hundred sixty-four thousand, eight hundred sixty-four".