57916320 has 192 divisors, whose sum is σ = 227598336. Its totient is φ = 12026880.

The previous prime is 57916307. The next prime is 57916349. The reversal of 57916320 is 2361975.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 36177 + ... + 37743.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408).

Almost surely, 2^57916320 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 57916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168).

57916320 is an abundant number, since it is smaller than the sum of its proper divisors (169682016).

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

57916320 is a wasteful number, since it uses less digits than its factorization.

57916320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 57916320 is about 7610.2772617034. The cubic root of 57916320 is about 386.9014164425.

The spelling of 57916320 in words is "fifty-seven million, nine hundred sixteen thousand, three hundred twenty".