57657920 has 28 divisors (see below), whose sum is σ = 137298684. Its totient is φ = 23063040.

The previous prime is 57657907. The next prime is 57657937. The reversal of 57657920 is 2975675.

57657920 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 17106496 + 40551424 = 4136^2 + 6368^2 .

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 3 ways as a sum of consecutive naturals, for example, 89771 + ... + 90410.

Almost surely, 2^57657920 is an apocalyptic number.

It is an amenable number.

57657920 is an abundant number, since it is smaller than the sum of its proper divisors (79640764).

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

57657920 is a wasteful number, since it uses less digits than its factorization.

57657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180198 (or 180188 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 41.

The square root of 57657920 is about 7593.2812406759. The cubic root of 57657920 is about 386.3251575730.

The spelling of 57657920 in words is "fifty-seven million, six hundred fifty-seven thousand, nine hundred twenty".