57120768 has 96 divisors (see below), whose sum is σ = 169369200. Its totient is φ = 19021824.

The previous prime is 57120743. The next prime is 57120769. The reversal of 57120768 is 86702175.

57120768 is a `hidden beast` number, since 571 + 20 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57120769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54780 + ... + 55812.

Almost surely, 2^57120768 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 57120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84684600).

57120768 is an abundant number, since it is smaller than the sum of its proper divisors (112248432).

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

57120768 is a wasteful number, since it uses less digits than its factorization.

57120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 57120768 is about 7557.8282594936. The cubic root of 57120768 is about 385.1217201011.

The spelling of 57120768 in words is "fifty-seven million, one hundred twenty thousand, seven hundred sixty-eight".