57396960 has 144 divisors (see below), whose sum is σ = 204501024. Its totient is φ = 14631936.

The previous prime is 57396877. The next prime is 57396961. The reversal of 57396960 is 6969375.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×57396960² = 6588822034483200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57396961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32254 + ... + 33986.

It is an arithmetic number, because the mean of its divisors is an integer number (1420146).

Almost surely, 2^57396960 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 57396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102250512).

57396960 is an abundant number, since it is smaller than the sum of its proper divisors (147104064).

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

57396960 is a wasteful number, since it uses less digits than its factorization.

57396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 57396960 is about 7576.0781410965. The cubic root of 57396960 is about 385.7414395933.

The spelling of 57396960 in words is "fifty-seven million, three hundred ninety-six thousand, nine hundred sixty".