22668624 has 90 divisors (see below), whose sum is σ = 69785898. Its totient is φ = 6864000.

The previous prime is 22668623. The next prime is 22668641. The reversal of 22668624 is 42686622.

22668624 is a `hidden beast` number, since 2 + 26 + 6 + 8 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 10890000 = 3432^2 + 3300^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22668623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16774 + ... + 18074.

Almost surely, 2^22668624 is an apocalyptic number.

22668624 is a gapful number since it is divisible by the number (24) 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 22668624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34892949).

22668624 is an abundant number, since it is smaller than the sum of its proper divisors (47117274).

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

22668624 is a wasteful number, since it uses less digits than its factorization.

22668624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1317 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 22668624 is about 4761.1578423741. The cubic root of 22668624 is about 283.0143041961.

The spelling of 22668624 in words is "twenty-two million, six hundred sixty-eight thousand, six hundred twenty-four".