56717280 has 192 divisors, whose sum is σ = 209260800. Its totient is φ = 14307840.

The previous prime is 56717267. The next prime is 56717293. The reversal of 56717280 is 8271765.

56717280 is a `hidden beast` number, since 567 + 17 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (56717267) and next prime (56717293).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 81735 + ... + 82425.

It is an arithmetic number, because the mean of its divisors is an integer number (1089900).

Almost surely, 2^56717280 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 56717280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104630400).

56717280 is an abundant number, since it is smaller than the sum of its proper divisors (152543520).

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

56717280 is a wasteful number, since it uses less digits than its factorization.

56717280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 56717280 is about 7531.0875708625. The cubic root of 56717280 is about 384.2127727068.

The spelling of 56717280 in words is "fifty-six million, seven hundred seventeen thousand, two hundred eighty".