22920 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 6080.

The previous prime is 22907. The next prime is 22921. The reversal of 22920 is 2922.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22920.

It is not an unprimeable number, because it can be changed into a prime (22921) by changing a digit.

22920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2²²⁹²⁰ is an apocalyptic number.

22920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

22920 is an abundant number, since it is smaller than the sum of its proper divisors (46200).

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

22920 is a wasteful number, since it uses less digits than its factorization.

22920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 22920 is about 151.3935269422. The cubic root of 22920 is about 28.4056591249.

The spelling of 22920 in words is "twenty-two thousand, nine hundred twenty".