57297768 has 64 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 16447680.

The previous prime is 57297763. The next prime is 57297809. The reversal of 57297768 is 86779275.

57297768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57297768.

It is not an unprimeable number, because it can be changed into a prime (57297763) 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 15 ways as a sum of consecutive naturals, for example, 696 + ... + 10727.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^57297768 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 57297768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

57297768 is an abundant number, since it is smaller than the sum of its proper divisors (107207832).

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

57297768 is a wasteful number, since it uses less digits than its factorization.

57297768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11462 (or 11458 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 57297768 is about 7569.5289153289. The cubic root of 57297768 is about 385.5191018744.

The spelling of 57297768 in words is "fifty-seven million, two hundred ninety-seven thousand, seven hundred sixty-eight".