57669920 has 192 divisors, whose sum is σ = 176504832. Its totient is φ = 17280000.

The previous prime is 57669919. The next prime is 57669961. The reversal of 57669920 is 2996675.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 381845 + ... + 381995.

It is an arithmetic number, because the mean of its divisors is an integer number (919296).

Almost surely, 2^57669920 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 57669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88252416).

57669920 is an abundant number, since it is smaller than the sum of its proper divisors (118834912).

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

57669920 is a wasteful number, since it uses less digits than its factorization.

57669920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 57669920 is about 7594.0713718005. The cubic root of 57669920 is about 386.3519568997.

The spelling of 57669920 in words is "fifty-seven million, six hundred sixty-nine thousand, nine hundred twenty".