57270960 has 120 divisors (see below), whose sum is σ = 203692320. Its totient is φ = 14370816.

The previous prime is 57270949. The next prime is 57270991. The reversal of 57270960 is 6907275.

57270960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 9901 + ... + 14579.

It is an arithmetic number, because the mean of its divisors is an integer number (1697436).

Almost surely, 2^57270960 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 57270960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101846160).

57270960 is an abundant number, since it is smaller than the sum of its proper divisors (146421360).

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

57270960 is a wasteful number, since it uses less digits than its factorization.

57270960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 57270960 is about 7567.7579242468. The cubic root of 57270960 is about 385.4589680119.

The spelling of 57270960 in words is "fifty-seven million, two hundred seventy thousand, nine hundred sixty".