57664992 has 192 divisors, whose sum is σ = 195955200. Its totient is φ = 14407680.

The previous prime is 57664987. The next prime is 57665009. The reversal of 57664992 is 29946675.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 214234 + ... + 214502.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^57664992 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 57664992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

57664992 is an abundant number, since it is smaller than the sum of its proper divisors (138290208).

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

57664992 is a wasteful number, since it uses less digits than its factorization.

57664992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 57664992 is about 7593.7469012339. The cubic root of 57664992 is about 386.3409517595.

The spelling of 57664992 in words is "fifty-seven million, six hundred sixty-four thousand, nine hundred ninety-two".