57864768 has 112 divisors (see below), whose sum is σ = 167274240. Its totient is φ = 17547264.

The previous prime is 57864761. The next prime is 57864839. The reversal of 57864768 is 86746875.

It is a self number, because there is not a number n which added to its sum of digits gives 57864768.

It is not an unprimeable number, because it can be changed into a prime (57864761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241993 + ... + 242231.

It is an arithmetic number, because the mean of its divisors is an integer number (1493520).

Almost surely, 2^57864768 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 57864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83637120).

57864768 is an abundant number, since it is smaller than the sum of its proper divisors (109409472).

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

57864768 is a wasteful number, since it uses less digits than its factorization.

57864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 57864768 is about 7606.8895088597. The cubic root of 57864768 is about 386.7865871930.

The spelling of 57864768 in words is "fifty-seven million, eight hundred sixty-four thousand, seven hundred sixty-eight".