57468816 has 60 divisors (see below), whose sum is σ = 161343468. Its totient is φ = 19095552.

The previous prime is 57468811. The next prime is 57468841. The reversal of 57468816 is 61886475.

It is a happy number.

57468816 is a `hidden beast` number, since 574 + 68 + 8 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26998416 + 30470400 = 5196^2 + 5520^2 .

Its product of digits (322560) is a multiple of the sum of its prime factors (1280).

It is not an unprimeable number, because it can be changed into a prime (57468811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85056 + ... + 85728.

Almost surely, 2^57468816 is an apocalyptic number.

It is an amenable number.

57468816 is an abundant number, since it is smaller than the sum of its proper divisors (103874652).

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

57468816 is a wasteful number, since it uses less digits than its factorization.

57468816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1271 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 57468816 is about 7580.8189531211. The cubic root of 57468816 is about 385.9023440393.

The spelling of 57468816 in words is "fifty-seven million, four hundred sixty-eight thousand, eight hundred sixteen".