56253760 has 56 divisors (see below), whose sum is σ = 134599680. Its totient is φ = 22393344.

The previous prime is 56253751. The next prime is 56253787. The reversal of 56253760 is 6735265.

56253760 = T₂₂₅ + T₂₂₆ + ... + T₇₀₃.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117201 + ... + 117679.

Almost surely, 2^56253760 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 56253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67299840).

56253760 is an abundant number, since it is smaller than the sum of its proper divisors (78345920).

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

56253760 is a wasteful number, since it uses less digits than its factorization.

56253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 56253760 is about 7500.2506624779. The cubic root of 56253760 is about 383.1632532613.

The spelling of 56253760 in words is "fifty-six million, two hundred fifty-three thousand, seven hundred sixty".