57408960 has 112 divisors (see below), whose sum is σ = 208336896. Its totient is φ = 13120512.

The previous prime is 57408959. The next prime is 57408973. The reversal of 57408960 is 6980475.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2449 + ... + 10991.

Almost surely, 2^57408960 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 57408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104168448).

57408960 is an abundant number, since it is smaller than the sum of its proper divisors (150927936).

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

57408960 is a wasteful number, since it uses less digits than its factorization.

57408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8570 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 57408960 is about 7576.8700661949. The cubic root of 57408960 is about 385.7683200804.

The spelling of 57408960 in words is "fifty-seven million, four hundred eight thousand, nine hundred sixty".