57320032 has 96 divisors (see below), whose sum is σ = 144232704. Its totient is φ = 21772800.

The previous prime is 57320027. The next prime is 57320033. The reversal of 57320032 is 23002375.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 57319985 and 57320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57320033) 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, 105682 + ... + 106222.

It is an arithmetic number, because the mean of its divisors is an integer number (1502424).

Almost surely, 2^57320032 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 57320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72116352).

57320032 is an abundant number, since it is smaller than the sum of its proper divisors (86912672).

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

57320032 is a wasteful number, since it uses less digits than its factorization.

57320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 57320032 is about 7570.9994056267. Note that the first 3 decimals coincide. The cubic root of 57320032 is about 385.5690286931.

The spelling of 57320032 in words is "fifty-seven million, three hundred twenty thousand, thirty-two".