57318768 has 120 divisors (see below), whose sum is σ = 175714448. Its totient is φ = 17335296.

The previous prime is 57318757. The next prime is 57318769. The reversal of 57318768 is 86781375.

57318768 is a `hidden beast` number, since 573 + 1 + 8 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57318769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125196 + ... + 125652.

Almost surely, 2^57318768 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 57318768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87857224).

57318768 is an abundant number, since it is smaller than the sum of its proper divisors (118395680).

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

57318768 is a wasteful number, since it uses less digits than its factorization.

57318768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 542 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 57318768 is about 7570.9159287368. The cubic root of 57318768 is about 385.5661945307.

The spelling of 57318768 in words is "fifty-seven million, three hundred eighteen thousand, seven hundred sixty-eight".