57769920 has 168 divisors, whose sum is σ = 214128096. Its totient is φ = 14211072.

The previous prime is 57769903. The next prime is 57769939. The reversal of 57769920 is 2996775.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36669 + ... + 38211.

It is an arithmetic number, because the mean of its divisors is an integer number (1274572).

Almost surely, 2^57769920 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 57769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107064048).

57769920 is an abundant number, since it is smaller than the sum of its proper divisors (156358176).

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

57769920 is a wasteful number, since it uses less digits than its factorization.

57769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 57769920 is about 7600.6526035598. The cubic root of 57769920 is about 386.5751401812.

The spelling of 57769920 in words is "fifty-seven million, seven hundred sixty-nine thousand, nine hundred twenty".