57132240 has 320 divisors, whose sum is σ = 218557440. Its totient is φ = 12165120.

The previous prime is 57132239. The next prime is 57132281. The reversal of 57132240 is 4223175.

57132240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57132240.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 852687 + ... + 852753.

It is an arithmetic number, because the mean of its divisors is an integer number (682992).

Almost surely, 2^57132240 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 57132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

57132240 is an abundant number, since it is smaller than the sum of its proper divisors (161425200).

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

57132240 is a wasteful number, since it uses less digits than its factorization.

57132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 57132240 is about 7558.5871695708. The cubic root of 57132240 is about 385.1475006872.

The spelling of 57132240 in words is "fifty-seven million, one hundred thirty-two thousand, two hundred forty".