56443680 has 144 divisors (see below), whose sum is σ = 202849920. Its totient is φ = 14252544.

The previous prime is 56443669. The next prime is 56443693. The reversal of 56443680 is 8634465.

56443680 is a `hidden beast` number, since 5 + 644 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26329 + ... + 28391.

It is an arithmetic number, because the mean of its divisors is an integer number (1408680).

Almost surely, 2^56443680 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 56443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101424960).

56443680 is an abundant number, since it is smaller than the sum of its proper divisors (146406240).

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

56443680 is a wasteful number, since it uses less digits than its factorization.

56443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2092 counting only the distinct ones).

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

The square root of 56443680 is about 7512.9009044443. The cubic root of 56443680 is about 383.5939718731.

It can be divided in two parts, 564 and 43680, that added together give a palindrome (44244).

The spelling of 56443680 in words is "fifty-six million, four hundred forty-three thousand, six hundred eighty".