56688144 has 80 divisors (see below), whose sum is σ = 153234240. Its totient is φ = 18040320.

The previous prime is 56688143. The next prime is 56688179. The reversal of 56688144 is 44188665.

It is a junction number, because it is equal to n+sod(n) for n = 56688096 and 56688105.

It is not an unprimeable number, because it can be changed into a prime (56688143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104514 + ... + 105054.

It is an arithmetic number, because the mean of its divisors is an integer number (1915428).

Almost surely, 2^56688144 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 56688144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76617120).

56688144 is an abundant number, since it is smaller than the sum of its proper divisors (96546096).

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

56688144 is a wasteful number, since it uses less digits than its factorization.

56688144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 56688144 is about 7529.1529404044. The cubic root of 56688144 is about 384.1469706516.

The spelling of 56688144 in words is "fifty-six million, six hundred eighty-eight thousand, one hundred forty-four".