56225664 has 320 divisors, whose sum is σ = 199940400. Its totient is φ = 15482880.

The previous prime is 56225657. The next prime is 56225669. The reversal of 56225664 is 46652265.

It is a super-2 number, since 2×56225664² = 6322650584481792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56225669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1938802 + ... + 1938830.

Almost surely, 2^56225664 is an apocalyptic number.

56225664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99970200).

56225664 is an abundant number, since it is smaller than the sum of its proper divisors (143714736).

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

56225664 is a wasteful number, since it uses less digits than its factorization.

56225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 56225664 is about 7498.3774244832. The cubic root of 56225664 is about 383.0994522074.

The spelling of 56225664 in words is "fifty-six million, two hundred twenty-five thousand, six hundred sixty-four".