57529920 has 168 divisors, whose sum is σ = 212652864. Its totient is φ = 13138944.

The previous prime is 57529919. The next prime is 57529937. The reversal of 57529920 is 2992575.

57529920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46429 + ... + 47651.

Almost surely, 2^57529920 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 57529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106326432).

57529920 is an abundant number, since it is smaller than the sum of its proper divisors (155122944).

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

57529920 is a wasteful number, since it uses less digits than its factorization.

57529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 57529920 is about 7584.8480538505. The cubic root of 57529920 is about 386.0390664461.

The spelling of 57529920 in words is "fifty-seven million, five hundred twenty-nine thousand, nine hundred twenty".