57316032 has 112 divisors (see below), whose sum is σ = 172821600. Its totient is φ = 18616320.

The previous prime is 57316031. The next prime is 57316043. The reversal of 57316032 is 23061375.

It is a happy number.

57316032 is a `hidden beast` number, since 57 + 3 + 1 + 603 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 57315987 and 57316005.

It is not an unprimeable number, because it can be changed into a prime (57316031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70444 + ... + 71252.

It is an arithmetic number, because the mean of its divisors is an integer number (1543050).

Almost surely, 2^57316032 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 57316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86410800).

57316032 is an abundant number, since it is smaller than the sum of its proper divisors (115505568).

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

57316032 is a wasteful number, since it uses less digits than its factorization.

57316032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 57316032 is about 7570.7352351010. The cubic root of 57316032 is about 385.5600596821.

The spelling of 57316032 in words is "fifty-seven million, three hundred sixteen thousand, thirty-two".