56954144 has 48 divisors (see below), whose sum is σ = 124944120. Its totient is φ = 25374720.

The previous prime is 56954129. The next prime is 56954167. The reversal of 56954144 is 44145965.

It can be written as a sum of positive squares in 4 ways, for example, as 41113744 + 15840400 = 6412^2 + 3980^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56954098 and 56954107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9704 + ... + 14424.

Almost surely, 2^56954144 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 56954144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62472060).

56954144 is an abundant number, since it is smaller than the sum of its proper divisors (67989976).

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

56954144 is a wasteful number, since it uses less digits than its factorization.

56954144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4765 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 56954144 is about 7546.7969364493. The cubic root of 56954144 is about 384.7468825933.

The spelling of 56954144 in words is "fifty-six million, nine hundred fifty-four thousand, one hundred forty-four".