56441664 has 112 divisors (see below), whose sum is σ = 168249600. Its totient is φ = 18551808.

The previous prime is 56441659. The next prime is 56441677. The reversal of 56441664 is 46614465.

56441664 is a `hidden beast` number, since 5 + 644 + 1 + 6 + 6 + 4 = 666.

56441664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56441664² = 6371322870177792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 153609 + ... + 153975.

Almost surely, 2^56441664 is an apocalyptic number.

56441664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84124800).

56441664 is an abundant number, since it is smaller than the sum of its proper divisors (111807936).

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

56441664 is a wasteful number, since it uses less digits than its factorization.

56441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 56441664 is about 7512.7667340335. The cubic root of 56441664 is about 383.5894048743.

The spelling of 56441664 in words is "fifty-six million, four hundred forty-one thousand, six hundred sixty-four".