56152880 has 80 divisors (see below), whose sum is σ = 150258240. Its totient is φ = 19117056.

The previous prime is 56152849. The next prime is 56152891. The reversal of 56152880 is 8825165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 56152880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110066 + ... + 110574.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 2^56152880 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 56152880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75129120).

56152880 is an abundant number, since it is smaller than the sum of its proper divisors (94105360).

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

56152880 is a wasteful number, since it uses less digits than its factorization.

56152880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 56152880 is about 7493.5225361642. The cubic root of 56152880 is about 382.9340736897.

The spelling of 56152880 in words is "fifty-six million, one hundred fifty-two thousand, eight hundred eighty".