57307964 has 48 divisors (see below), whose sum is σ = 119648256. Its totient is φ = 23500800.

The previous prime is 57307961. The next prime is 57307967. The reversal of 57307964 is 46970375.

It is an interprime number because it is at equal distance from previous prime (57307961) and next prime (57307967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57307961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89084 + ... + 89724.

It is an arithmetic number, because the mean of its divisors is an integer number (2492672).

Almost surely, 2^57307964 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 57307964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59824128).

57307964 is an abundant number, since it is smaller than the sum of its proper divisors (62340292).

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

57307964 is a wasteful number, since it uses less digits than its factorization.

57307964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 57307964 is about 7570.2023751020. The cubic root of 57307964 is about 385.5419679171.

The spelling of 57307964 in words is "fifty-seven million, three hundred seven thousand, nine hundred sixty-four".