56774144 has 120 divisors (see below), whose sum is σ = 138080448. Its totient is φ = 23224320.

The previous prime is 56774129. The next prime is 56774149. The reversal of 56774144 is 44147765.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 56774098 and 56774107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56774149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777692 + ... + 777764.

Almost surely, 2^56774144 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 56774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69040224).

56774144 is an abundant number, since it is smaller than the sum of its proper divisors (81306304).

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

56774144 is an equidigital number, since it uses as much as digits as its factorization.

56774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its digits is 94080, while the sum is 38.

The square root of 56774144 is about 7534.8619098163. The cubic root of 56774144 is about 384.3411320458.

The spelling of 56774144 in words is "fifty-six million, seven hundred seventy-four thousand, one hundred forty-four".