56295360 has 168 divisors, whose sum is σ = 211354416. Its totient is φ = 13639680.

The previous prime is 56295359. The next prime is 56295361. The reversal of 56295360 is 6359265.

56295360 is a `hidden beast` number, since 5 + 6 + 295 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (56295359) and next prime (56295361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56295361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30792 + ... + 32568.

It is an arithmetic number, because the mean of its divisors is an integer number (1258062).

Almost surely, 2^56295360 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 56295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105677208).

56295360 is an abundant number, since it is smaller than the sum of its proper divisors (155059056).

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

56295360 is a wasteful number, since it uses less digits than its factorization.

56295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56295360 is about 7503.0233906073. The cubic root of 56295360 is about 383.2576805126.

The spelling of 56295360 in words is "fifty-six million, two hundred ninety-five thousand, three hundred sixty".