56914560 has 192 divisors, whose sum is σ = 202161960. Its totient is φ = 14745600.

The previous prime is 56914537. The next prime is 56914579. The reversal of 56914560 is 6541965.

56914560 is a `hidden beast` number, since 5 + 6 + 91 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38044224 + 18870336 = 6168^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 236040 + ... + 236280.

Almost surely, 2^56914560 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 56914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101080980).

56914560 is an abundant number, since it is smaller than the sum of its proper divisors (145247400).

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

56914560 is a wasteful number, since it uses less digits than its factorization.

56914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56914560 is about 7544.1739110389. The cubic root of 56914560 is about 384.6577269486.

It can be divided in two parts, 569 and 14560, that added together give a square (15129 = 123²).

The spelling of 56914560 in words is "fifty-six million, nine hundred fourteen thousand, five hundred sixty".