57672960 has 144 divisors (see below), whose sum is σ = 192495744. Its totient is φ = 14688256.

The previous prime is 57672947. The next prime is 57673001. The reversal of 57672960 is 6927675.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87994 + ... + 88646.

It is an arithmetic number, because the mean of its divisors is an integer number (1336776).

Almost surely, 2^57672960 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 57672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96247872).

57672960 is an abundant number, since it is smaller than the sum of its proper divisors (134822784).

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

57672960 is a wasteful number, since it uses less digits than its factorization.

57672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 57672960 is about 7594.2715253012. The cubic root of 57672960 is about 386.3587454723.

It can be divided in two parts, 576 and 72960, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 57672960 in words is "fifty-seven million, six hundred seventy-two thousand, nine hundred sixty".