57456684 has 72 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 17999712.

The previous prime is 57456683. The next prime is 57456697. The reversal of 57456684 is 48665475.

57456684 is a `hidden beast` number, since 5 + 7 + 4 + 566 + 84 = 666.

57456684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57456683) 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 23 ways as a sum of consecutive naturals, for example, 113977 + ... + 114479.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^57456684 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 57456684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

57456684 is an abundant number, since it is smaller than the sum of its proper divisors (96646356).

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

57456684 is a wasteful number, since it uses less digits than its factorization.

57456684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 694 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 57456684 is about 7580.0187334861. The cubic root of 57456684 is about 385.8751867214.

The spelling of 57456684 in words is "fifty-seven million, four hundred fifty-six thousand, six hundred eighty-four".