57132360 has 96 divisors (see below), whose sum is σ = 187087680. Its totient is φ = 15120000.

The previous prime is 57132343. The next prime is 57132379. The reversal of 57132360 is 6323175.

It is a happy number.

57132360 is a `hidden beast` number, since 571 + 32 + 3 + 60 = 666.

57132360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×57132360³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53835 + ... + 54885.

It is an arithmetic number, because the mean of its divisors is an integer number (1948830).

Almost surely, 2^57132360 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 57132360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93543840).

57132360 is an abundant number, since it is smaller than the sum of its proper divisors (129955320).

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

57132360 is a wasteful number, since it uses less digits than its factorization.

57132360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).

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

The square root of 57132360 is about 7558.5951075580. The cubic root of 57132360 is about 385.1477703404.

The spelling of 57132360 in words is "fifty-seven million, one hundred thirty-two thousand, three hundred sixty".