57456168 has 64 divisors (see below), whose sum is σ = 179089920. Its totient is φ = 14923200.

The previous prime is 57456151. The next prime is 57456229. The reversal of 57456168 is 86165475.

57456168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57456168² = 6602422482488448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 13698 + ... + 17393.

It is an arithmetic number, because the mean of its divisors is an integer number (2798280).

Almost surely, 2^57456168 is an apocalyptic number.

It is an amenable number.

57456168 is an abundant number, since it is smaller than the sum of its proper divisors (121633752).

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

57456168 is a wasteful number, since it uses less digits than its factorization.

57456168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31118 (or 31114 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 57456168 is about 7579.9846965545. The cubic root of 57456168 is about 385.8740315776.

The spelling of 57456168 in words is "fifty-seven million, four hundred fifty-six thousand, one hundred sixty-eight".