56632 has 8 divisors (see below), whose sum is σ = 106200. Its totient is φ = 28312.

The previous prime is 56629. The next prime is 56633. The reversal of 56632 is 23665.

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 5 + 6⁵ + 6⁶ + 3⁷ + 2³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3532 + ... + 3547.

It is an arithmetic number, because the mean of its divisors is an integer number (13275).

2⁵⁶⁶³² is an apocalyptic number.

It is an amenable number.

56632 is a deficient number, since it is larger than the sum of its proper divisors (49568).

56632 is a wasteful number, since it uses less digits than its factorization.

56632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7081 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 56632 is about 237.9747885806. The cubic root of 56632 is about 38.4020108901.

It can be divided in two parts, 5663 and 2, that added together give a palindrome (5665).

The spelling of 56632 in words is "fifty-six thousand, six hundred thirty-two".