22632 has 32 divisors (see below), whose sum is σ = 60480. Its totient is φ = 7040.

The previous prime is 22621. The next prime is 22637. The reversal of 22632 is 23622.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22632.

It is not an unprimeable number, because it can be changed into a prime (22637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2²²⁶³² is an apocalyptic number.

22632 is the 123-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

22632 is an abundant number, since it is smaller than the sum of its proper divisors (37848).

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

22632 is a wasteful number, since it uses less digits than its factorization.

22632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 22632 is about 150.4393565527. The cubic root of 22632 is about 28.2861807027.

Subtracting 22632 from its reverse (23622), we obtain a triangular number (990 = T₄₄).

The spelling of 22632 in words is "twenty-two thousand, six hundred thirty-two".