56627144 has 48 divisors (see below), whose sum is σ = 130028400. Its totient is φ = 22988448.

The previous prime is 56627143. The next prime is 56627147. The reversal of 56627144 is 44172665.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56627143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3647 + ... + 11249.

It is an arithmetic number, because the mean of its divisors is an integer number (2708925).

Almost surely, 2^56627144 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 56627144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65014200).

56627144 is an abundant number, since it is smaller than the sum of its proper divisors (73401256).

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

56627144 is a wasteful number, since it uses less digits than its factorization.

56627144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7631 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 56627144 is about 7525.1009295557. The cubic root of 56627144 is about 384.0091324506.

The spelling of 56627144 in words is "fifty-six million, six hundred twenty-seven thousand, one hundred forty-four".