57321632 has 48 divisors (see below), whose sum is σ = 122925600. Its totient is φ = 26208000.

The previous prime is 57321631. The next prime is 57321643. The reversal of 57321632 is 23612375.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 57321595 and 57321604.

It is not an unprimeable number, because it can be changed into a prime (57321631) 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 7 ways as a sum of consecutive naturals, for example, 16007 + ... + 19257.

It is an arithmetic number, because the mean of its divisors is an integer number (2560950).

Almost surely, 2^57321632 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 57321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61462800).

57321632 is an abundant number, since it is smaller than the sum of its proper divisors (65603968).

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

57321632 is a wasteful number, since it uses less digits than its factorization.

57321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3301 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 57321632 is about 7571.1050712561. The cubic root of 57321632 is about 385.5726161806.

The spelling of 57321632 in words is "fifty-seven million, three hundred twenty-one thousand, six hundred thirty-two".