57293760 has 112 divisors (see below), whose sum is σ = 186939936. Its totient is φ = 14856192.

The previous prime is 57293749. The next prime is 57293773. The reversal of 57293760 is 6739275.

57293760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 34714 + ... + 36326.

Almost surely, 2^57293760 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 57293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93469968).

57293760 is an abundant number, since it is smaller than the sum of its proper divisors (129646176).

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

57293760 is a wasteful number, since it uses less digits than its factorization.

57293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 57293760 is about 7569.2641650295. The cubic root of 57293760 is about 385.5101125971.

The spelling of 57293760 in words is "fifty-seven million, two hundred ninety-three thousand, seven hundred sixty".