57319320 has 64 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 14958464.

The previous prime is 57319313. The next prime is 57319343. The reversal of 57319320 is 2391375.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559 + ... + 10721.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^57319320 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 57319320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

57319320 is an abundant number, since it is smaller than the sum of its proper divisors (118314600).

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

57319320 is a wasteful number, since it uses less digits than its factorization.

57319320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 57319320 is about 7570.9523839475. The cubic root of 57319320 is about 385.5674322396.

It can be divided in two parts, 5731 and 9320, that added together give a palindrome (15051).

The spelling of 57319320 in words is "fifty-seven million, three hundred nineteen thousand, three hundred twenty".