56574144 has 84 divisors (see below), whose sum is σ = 176921160. Its totient is φ = 17141760.

The previous prime is 56574139. The next prime is 56574169. The reversal of 56574144 is 44147565.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56574099 and 56574108.

It is an unprimeable number.

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, 1872 + ... + 10800.

Almost surely, 2^56574144 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 56574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88460580).

56574144 is an abundant number, since it is smaller than the sum of its proper divisors (120347016).

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

56574144 is a wasteful number, since it uses less digits than its factorization.

56574144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958 (or 8945 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 56574144 is about 7521.5785577231. The cubic root of 56574144 is about 383.8892910018.

It can be divided in two parts, 5657 and 4144, that added together give a square (9801 = 99²).

The spelling of 56574144 in words is "fifty-six million, five hundred seventy-four thousand, one hundred forty-four".