57545280 has 336 divisors, whose sum is σ = 224668080. Its totient is φ = 13418496.

The previous prime is 57545261. The next prime is 57545291. The reversal of 57545280 is 8254575.

It is a happy number.

57545280 is a `hidden beast` number, since 575 + 4 + 5 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1115136 + 56430144 = 1056^2 + 7512^2 .

It is a super-2 number, since 2×57545280² = 6622918500556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085734 + ... + 1085786.

It is an arithmetic number, because the mean of its divisors is an integer number (668655).

Almost surely, 2^57545280 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 57545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

57545280 is an abundant number, since it is smaller than the sum of its proper divisors (167122800).

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

57545280 is a wasteful number, since it uses less digits than its factorization.

57545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 57545280 is about 7585.8605312779. The cubic root of 57545280 is about 386.0734197729.

The spelling of 57545280 in words is "fifty-seven million, five hundred forty-five thousand, two hundred eighty".