57384960 has 112 divisors (see below), whose sum is σ = 184013856. Its totient is φ = 15269888.

The previous prime is 57384949. The next prime is 57384961. The reversal of 57384960 is 6948375.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57384961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122647 + ... + 123113.

Almost surely, 2^57384960 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 57384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92006928).

57384960 is an abundant number, since it is smaller than the sum of its proper divisors (126628896).

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

57384960 is an equidigital number, since it uses as much as digits as its factorization.

57384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 57384960 is about 7575.2861332098. The cubic root of 57384960 is about 385.7145553594.

The spelling of 57384960 in words is "fifty-seven million, three hundred eighty-four thousand, nine hundred sixty".