57381632 has 144 divisors (see below), whose sum is σ = 148345344. Its totient is φ = 21504000.

The previous prime is 57381607. The next prime is 57381641. The reversal of 57381632 is 23618375.

It is a junction number, because it is equal to n+sod(n) for n = 57381592 and 57381601.

It is an unprimeable number.

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, 808157 + ... + 808227.

It is an arithmetic number, because the mean of its divisors is an integer number (1030176).

Almost surely, 2^57381632 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 57381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74172672).

57381632 is an abundant number, since it is smaller than the sum of its proper divisors (90963712).

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

57381632 is a wasteful number, since it uses less digits than its factorization.

57381632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 57381632 is about 7575.0664683552. The cubic root of 57381632 is about 385.7070988014.

The spelling of 57381632 in words is "fifty-seven million, three hundred eighty-one thousand, six hundred thirty-two".