57792960 has 112 divisors (see below), whose sum is σ = 203911200. Its totient is φ = 15409152.

The previous prime is 57792937. The next prime is 57793007. The reversal of 57792960 is 6929775.

57792960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 5296 + ... + 11984.

Almost surely, 2^57792960 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 57792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101955600).

57792960 is an abundant number, since it is smaller than the sum of its proper divisors (146118240).

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

57792960 is a wasteful number, since it uses less digits than its factorization.

57792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 57792960 is about 7602.1681117955. The cubic root of 57792960 is about 386.6265250970.

The spelling of 57792960 in words is "fifty-seven million, seven hundred ninety-two thousand, nine hundred sixty".