22608 has 30 divisors (see below), whose sum is σ = 63674. Its totient is φ = 7488.

The previous prime is 22573. The next prime is 22613. The reversal of 22608 is 80622.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 5184 = 132^2 + 72^2 .

It is a super-2 number, since 2×22608² = 1022243328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

22608 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 66 + ... + 222.

2²²⁶⁰⁸ 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 22608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31837).

22608 is an abundant number, since it is smaller than the sum of its proper divisors (41066).

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

22608 is a wasteful number, since it uses less digits than its factorization.

22608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22608 is about 150.3595690337. The cubic root of 22608 is about 28.2761785164.

It can be divided in two parts, 22 and 608, that added together give a triangular number (630 = T₃₅).

The spelling of 22608 in words is "twenty-two thousand, six hundred eight".