22080 has 56 divisors (see below), whose sum is σ = 73152. Its totient is φ = 5632.

The previous prime is 22079. The next prime is 22091. The reversal of 22080 is 8022.

22080 = T₅ + T₆ + ... + T₅₀.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949 + ... + 971.

2²²⁰⁸⁰ is an apocalyptic number.

22080 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 22080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36576).

22080 is an abundant number, since it is smaller than the sum of its proper divisors (51072).

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

22080 is a wasteful number, since it uses less digits than its factorization.

22080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22080 is about 148.5934049681. The cubic root of 22080 is about 28.0543163340.

It can be divided in two parts, 220 and 80, that added together give a triangular number (300 = T₂₄).

The spelling of 22080 in words is "twenty-two thousand, eighty".