57110656 has 64 divisors (see below), whose sum is σ = 125092800. Its totient is φ = 25850880.

The previous prime is 57110653. The next prime is 57110671. The reversal of 57110656 is 65601175.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (57110653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55426 + ... + 56446.

It is an arithmetic number, because the mean of its divisors is an integer number (1954575).

Almost surely, 2^57110656 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 57110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62546400).

57110656 is an abundant number, since it is smaller than the sum of its proper divisors (67982144).

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

57110656 is a wasteful number, since it uses less digits than its factorization.

57110656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 57110656 is about 7557.1592546406. The cubic root of 57110656 is about 385.0989929285.

The spelling of 57110656 in words is "fifty-seven million, one hundred ten thousand, six hundred fifty-six".