56225760 has 96 divisors (see below), whose sum is σ = 181494432. Its totient is φ = 14622720.

The previous prime is 56225747. The next prime is 56225773. The reversal of 56225760 is 6752265.

It is an interprime number because it is at equal distance from previous prime (56225747) and next prime (56225773).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×56225760² = 6322672175155200, which contains 22 as substring.

It is a congruent number.

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, 18252 + ... + 21108.

It is an arithmetic number, because the mean of its divisors is an integer number (1890567).

Almost surely, 2^56225760 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 56225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90747216).

56225760 is an abundant number, since it is smaller than the sum of its proper divisors (125268672).

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

56225760 is a wasteful number, since it uses less digits than its factorization.

56225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 56225760 is about 7498.3838258654. The cubic root of 56225760 is about 383.0996702426.

The spelling of 56225760 in words is "fifty-six million, two hundred twenty-five thousand, seven hundred sixty".