57724920 has 256 divisors, whose sum is σ = 216691200. Its totient is φ = 13547520.

The previous prime is 57724913. The next prime is 57724939. The reversal of 57724920 is 2942775.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510784 + ... + 510896.

It is an arithmetic number, because the mean of its divisors is an integer number (846450).

Almost surely, 2^57724920 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 57724920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108345600).

57724920 is an abundant number, since it is smaller than the sum of its proper divisors (158966280).

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

57724920 is a wasteful number, since it uses less digits than its factorization.

57724920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57724920 is about 7597.6917547371. The cubic root of 57724920 is about 386.4747396029.

The spelling of 57724920 in words is "fifty-seven million, seven hundred twenty-four thousand, nine hundred twenty".