56174144 has 56 divisors (see below), whose sum is σ = 121359168. Its totient is φ = 25643520.

The previous prime is 56174143. The next prime is 56174147. The reversal of 56174144 is 44147165.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 56174144.

It is not an unprimeable number, because it can be changed into a prime (56174143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88709 + ... + 89339.

It is an arithmetic number, because the mean of its divisors is an integer number (2167128).

Almost surely, 2^56174144 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 56174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60679584).

56174144 is an abundant number, since it is smaller than the sum of its proper divisors (65185024).

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

56174144 is a wasteful number, since it uses less digits than its factorization.

56174144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 753 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 56174144 is about 7494.9412272546. The cubic root of 56174144 is about 382.9824041436.

The spelling of 56174144 in words is "fifty-six million, one hundred seventy-four thousand, one hundred forty-four".