22624 has 24 divisors (see below), whose sum is σ = 51408. Its totient is φ = 9600.

The previous prime is 22621. The next prime is 22637. The reversal of 22624 is 42622.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 2⁹ + 2¹¹ + 6⁵ + 2¹³ + 4⁶ .

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 22598 and 22607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22621) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 174 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (2142).

2²²⁶²⁴ 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 22624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704).

22624 is an abundant number, since it is smaller than the sum of its proper divisors (28784).

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

22624 is a wasteful number, since it uses less digits than its factorization.

22624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 22624 is about 150.4127654157. The cubic root of 22624 is about 28.2828474266.

It can be divided in two parts, 22 and 624, that added together give a palindrome (646).

The spelling of 22624 in words is "twenty-two thousand, six hundred twenty-four".