56225280 has 80 divisors (see below), whose sum is σ = 179769744. Its totient is φ = 14991360.

The previous prime is 56225269. The next prime is 56225291. The reversal of 56225280 is 8252265.

It is an interprime number because it is at equal distance from previous prime (56225269) and next prime (56225291).

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

It is a super-2 number, since 2×56225280² = 6322564222156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4020 + ... + 11340.

Almost surely, 2^56225280 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 56225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89884872).

56225280 is an abundant number, since it is smaller than the sum of its proper divisors (123544464).

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

56225280 is an equidigital number, since it uses as much as digits as its factorization.

56225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 56225280 is about 7498.3518188999. The cubic root of 56225280 is about 383.0985800640.

The spelling of 56225280 in words is "fifty-six million, two hundred twenty-five thousand, two hundred eighty".