57357864 has 48 divisors (see below), whose sum is σ = 164485620. Its totient is φ = 17994240.

The previous prime is 57357857. The next prime is 57357887. The reversal of 57357864 is 46875375.

57357864 is a `hidden beast` number, since 5 + 73 + 578 + 6 + 4 = 666.

57357864 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 2 ways, for example, as 56881764 + 476100 = 7542^2 + 690^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 22207 + ... + 24654.

Almost surely, 2^57357864 is an apocalyptic number.

It is an amenable number.

57357864 is an abundant number, since it is smaller than the sum of its proper divisors (107127756).

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

57357864 is a wasteful number, since it uses less digits than its factorization.

57357864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46890 (or 46883 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 57357864 is about 7573.4974747471. The cubic root of 57357864 is about 385.6538369703.

The spelling of 57357864 in words is "fifty-seven million, three hundred fifty-seven thousand, eight hundred sixty-four".