56643444 has 72 divisors (see below), whose sum is σ = 168229152. Its totient is φ = 15842880.

The previous prime is 56643437. The next prime is 56643449. The reversal of 56643444 is 44434665.

56643444 is a `hidden beast` number, since 5 + 6 + 643 + 4 + 4 + 4 = 666.

56643444 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 2×56643444² = 6416959496362272, which contains 22 as substring.

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 = 56643399 and 56643408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56643449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 354 + ... + 10649.

It is an arithmetic number, because the mean of its divisors is an integer number (2336516).

Almost surely, 2^56643444 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 56643444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84114576).

56643444 is an abundant number, since it is smaller than the sum of its proper divisors (111585708).

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

56643444 is a wasteful number, since it uses less digits than its factorization.

56643444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11037 (or 11032 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 56643444 is about 7526.1838935811. The cubic root of 56643444 is about 384.0459743132.

The spelling of 56643444 in words is "fifty-six million, six hundred forty-three thousand, four hundred forty-four".