57339360 has 192 divisors, whose sum is σ = 216336960. Its totient is φ = 14100480.

The previous prime is 57339353. The next prime is 57339377. The reversal of 57339360 is 6393375.

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 31 ways as a sum of consecutive naturals, for example, 55650 + ... + 56670.

It is an arithmetic number, because the mean of its divisors is an integer number (1126755).

Almost surely, 2^57339360 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 57339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108168480).

57339360 is an abundant number, since it is smaller than the sum of its proper divisors (158997600).

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

57339360 is a wasteful number, since it uses less digits than its factorization.

57339360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 57339360 is about 7572.2757477525. The cubic root of 57339360 is about 385.6123610759.

The spelling of 57339360 in words is "fifty-seven million, three hundred thirty-nine thousand, three hundred sixty".