56632464 has 120 divisors (see below), whose sum is σ = 190731840. Its totient is φ = 15323904.

The previous prime is 56632453. The next prime is 56632469. The reversal of 56632464 is 46423665.

56632464 is a `hidden beast` number, since 566 + 32 + 4 + 64 = 666.

It is a super-2 number, since 2×56632464² = 6414471957422592, which contains 22 as substring.

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 (56632469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17674 + ... + 20630.

It is an arithmetic number, because the mean of its divisors is an integer number (1589432).

Almost surely, 2^56632464 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 56632464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95365920).

56632464 is an abundant number, since it is smaller than the sum of its proper divisors (134099376).

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

56632464 is a wasteful number, since it uses less digits than its factorization.

56632464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2988 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 56632464 is about 7525.4544048848. The cubic root of 56632464 is about 384.0211576884.

The spelling of 56632464 in words is "fifty-six million, six hundred thirty-two thousand, four hundred sixty-four".