56122880 has 80 divisors (see below), whose sum is σ = 146870064. Its totient is φ = 20398080.

The previous prime is 56122877. The next prime is 56122883. The reversal of 56122880 is 8822165.

It is an interprime number because it is at equal distance from previous prime (56122877) and next prime (56122883).

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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56122883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27164 + ... + 29156.

Almost surely, 2^56122880 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 56122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73435032).

56122880 is an abundant number, since it is smaller than the sum of its proper divisors (90747184).

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

56122880 is a wasteful number, since it uses less digits than its factorization.

56122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 56122880 is about 7491.5205399171. The cubic root of 56122880 is about 382.8658666291.

The spelling of 56122880 in words is "fifty-six million, one hundred twenty-two thousand, eight hundred eighty".