56633643 has 24 divisors (see below), whose sum is σ = 91658736. Its totient is φ = 33393600.

The previous prime is 56633611. The next prime is 56633651. The reversal of 56633643 is 34633665.

It is a happy number.

56633643 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 3 + 643 = 666.

It is not a de Polignac number, because 56633643 - 2⁵ = 56633611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56633598 and 56633607.

It is not an unprimeable number, because it can be changed into a prime (56633663) by changing a digit.

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, 4068 + ... + 11393.

It is an arithmetic number, because the mean of its divisors is an integer number (3819114).

Almost surely, 2^56633643 is an apocalyptic number.

56633643 is a deficient number, since it is larger than the sum of its proper divisors (35025093).

56633643 is a wasteful number, since it uses less digits than its factorization.

56633643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15515 (or 15512 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 56633643 is about 7525.5327386172. The cubic root of 56633643 is about 384.0238225781.

The spelling of 56633643 in words is "fifty-six million, six hundred thirty-three thousand, six hundred forty-three".