57329520 has 80 divisors (see below), whose sum is σ = 183872160. Its totient is φ = 14758912.

The previous prime is 57329513. The next prime is 57329537. The reversal of 57329520 is 2592375.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2842 + ... + 11078.

It is an arithmetic number, because the mean of its divisors is an integer number (2298402).

Almost surely, 2^57329520 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 57329520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91936080).

57329520 is an abundant number, since it is smaller than the sum of its proper divisors (126542640).

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

57329520 is a wasteful number, since it uses less digits than its factorization.

57329520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 57329520 is about 7571.6259812540. The cubic root of 57329520 is about 385.5903015186.

The spelling of 57329520 in words is "fifty-seven million, three hundred twenty-nine thousand, five hundred twenty".