56537280 has 168 divisors, whose sum is σ = 198040752. Its totient is φ = 14800896.

The previous prime is 56537279. The next prime is 56537309. The reversal of 56537280 is 8273565.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192814 + ... + 193106.

It is an arithmetic number, because the mean of its divisors is an integer number (1178814).

Almost surely, 2^56537280 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 56537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99020376).

56537280 is an abundant number, since it is smaller than the sum of its proper divisors (141503472).

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

56537280 is a wasteful number, since it uses less digits than its factorization.

56537280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 56537280 is about 7519.1276089717. The cubic root of 56537280 is about 383.8058914798.

The spelling of 56537280 in words is "fifty-six million, five hundred thirty-seven thousand, two hundred eighty".