57964680 has 128 divisors (see below), whose sum is σ = 194918400. Its totient is φ = 15321600.

The previous prime is 57964651. The next prime is 57964703. The reversal of 57964680 is 8646975.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206140 + ... + 206420.

It is an arithmetic number, because the mean of its divisors is an integer number (1522800).

Almost surely, 2^57964680 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 57964680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97459200).

57964680 is an abundant number, since it is smaller than the sum of its proper divisors (136953720).

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

57964680 is a wasteful number, since it uses less digits than its factorization.

57964680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 57964680 is about 7613.4538811239. The cubic root of 57964680 is about 387.0090737612.

The spelling of 57964680 in words is "fifty-seven million, nine hundred sixty-four thousand, six hundred eighty".