22968 has 48 divisors (see below), whose sum is σ = 70200. Its totient is φ = 6720.

The previous prime is 22963. The next prime is 22973. The reversal of 22968 is 86922.

22968 = 7³ + 8³ + ... + 17³.

It is an interprime number because it is at equal distance from previous prime (22963) and next prime (22973).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778 + ... + 806.

2²²⁹⁶⁸ 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 22968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35100).

22968 is an abundant number, since it is smaller than the sum of its proper divisors (47232).

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

22968 is a wasteful number, since it uses less digits than its factorization.

22968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 45 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 22968 is about 151.5519712838. The cubic root of 22968 is about 28.4254747289.

It can be divided in two parts, 2296 and 8, that added together give a square (2304 = 48²).

The spelling of 22968 in words is "twenty-two thousand, nine hundred sixty-eight".