57056864 has 48 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 27310080.

The previous prime is 57056851. The next prime is 57056887. The reversal of 57056864 is 46865075.

57056864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 111842 + ... + 112350.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^57056864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57056864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

57056864 is an abundant number, since it is smaller than the sum of its proper divisors (60153376).

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

57056864 is a wasteful number, since it uses less digits than its factorization.

57056864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 57056864 is about 7553.5994069053. The cubic root of 57056864 is about 384.9780478854.

The spelling of 57056864 in words is "fifty-seven million, fifty-six thousand, eight hundred sixty-four".