57516840 has 48 divisors (see below), whose sum is σ = 186930900. Its totient is φ = 15337728.

The previous prime is 57516827. The next prime is 57516841. The reversal of 57516840 is 4861575.

57516840 is a `hidden beast` number, since 575 + 1 + 6 + 84 + 0 = 666.

57516840 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 57244356 + 272484 = 7566^2 + 522^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 57516795 and 57516804.

It is not an unprimeable number, because it can be changed into a prime (57516841) by changing a digit.

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, 79525 + ... + 80244.

Almost surely, 2^57516840 is an apocalyptic number.

It is an amenable number.

57516840 is an abundant number, since it is smaller than the sum of its proper divisors (129414060).

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

57516840 is a wasteful number, since it uses less digits than its factorization.

57516840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159786 (or 159779 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57516840 is about 7583.9857594803. The cubic root of 57516840 is about 386.0098076204.

The spelling of 57516840 in words is "fifty-seven million, five hundred sixteen thousand, eight hundred forty".