56629224 has 48 divisors (see below), whose sum is σ = 154517220. Its totient is φ = 18735360.

The previous prime is 56629217. The next prime is 56629229. The reversal of 56629224 is 42292665.

56629224 is a `hidden beast` number, since 5 + 6 + 629 + 2 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56520324 + 108900 = 7518^2 + 330^2 .

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

It is not an unprimeable number, because it can be changed into a prime (56629229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6994 + ... + 12734.

Almost surely, 2^56629224 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 56629224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77258610).

56629224 is an abundant number, since it is smaller than the sum of its proper divisors (97887996).

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

56629224 is a wasteful number, since it uses less digits than its factorization.

56629224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5883 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 56629224 is about 7525.2391324130. The cubic root of 56629224 is about 384.0138341370.

The spelling of 56629224 in words is "fifty-six million, six hundred twenty-nine thousand, two hundred twenty-four".