56182464 has 224 divisors, whose sum is σ = 185196480. Its totient is φ = 16588800.

The previous prime is 56182439. The next prime is 56182471. The reversal of 56182464 is 46428165.

It is a super-2 number, since 2×56182464² = 6312938522222592, which contains 22 as substring.

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920994 + ... + 921054.

It is an arithmetic number, because the mean of its divisors is an integer number (826770).

Almost surely, 2^56182464 is an apocalyptic number.

56182464 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 56182464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92598240).

56182464 is an abundant number, since it is smaller than the sum of its proper divisors (129014016).

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

56182464 is a wasteful number, since it uses less digits than its factorization.

56182464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 56182464 is about 7495.4962477477. The cubic root of 56182464 is about 383.0013111595.

The spelling of 56182464 in words is "fifty-six million, one hundred eighty-two thousand, four hundred sixty-four".