56702880 has 216 divisors, whose sum is σ = 210427308. Its totient is φ = 13897728.

The previous prime is 56702873. The next prime is 56702887. The reversal of 56702880 is 8820765.

It is an interprime number because it is at equal distance from previous prime (56702873) and next prime (56702887).

It can be written as a sum of positive squares in 6 ways, for example, as 1527696 + 55175184 = 1236^2 + 7428^2 .

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

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (56702887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243244 + ... + 243476.

Almost surely, 2^56702880 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 56702880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105213654).

56702880 is an abundant number, since it is smaller than the sum of its proper divisors (153724428).

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

56702880 is a wasteful number, since it uses less digits than its factorization.

56702880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 56702880 is about 7530.1314729558. The cubic root of 56702880 is about 384.1802539152.

The spelling of 56702880 in words is "fifty-six million, seven hundred two thousand, eight hundred eighty".