56561344 has 56 divisors (see below), whose sum is σ = 129040128. Its totient is φ = 24096000.

The previous prime is 56561341. The next prime is 56561357. The reversal of 56561344 is 44316565.

56561344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56561341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112197 + ... + 112699.

It is an arithmetic number, because the mean of its divisors is an integer number (2304288).

Almost surely, 2^56561344 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 56561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64520064).

56561344 is an abundant number, since it is smaller than the sum of its proper divisors (72478784).

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

56561344 is a wasteful number, since it uses less digits than its factorization.

56561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 56561344 is about 7520.7276243725. The cubic root of 56561344 is about 383.8603369414.

The spelling of 56561344 in words is "fifty-six million, five hundred sixty-one thousand, three hundred forty-four".