22368 has 24 divisors (see below), whose sum is σ = 58968. Its totient is φ = 7424.

The previous prime is 22367. The next prime is 22369. The reversal of 22368 is 86322.

It is an interprime number because it is at equal distance from previous prime (22367) and next prime (22369).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21 + ... + 212.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

2²²³⁶⁸ 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 22368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484).

22368 is an abundant number, since it is smaller than the sum of its proper divisors (36600).

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

22368 is a wasteful number, since it uses less digits than its factorization.

22368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 22368 is about 149.5593527667. The cubic root of 22368 is about 28.1757651049.

The spelling of 22368 in words is "twenty-two thousand, three hundred sixty-eight".