22661408 has 96 divisors (see below), whose sum is σ = 59004288. Its totient is φ = 8294400.

The previous prime is 22661393. The next prime is 22661413. The reversal of 22661408 is 80416622.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41618 + ... + 42158.

It is an arithmetic number, because the mean of its divisors is an integer number (614628).

Almost surely, 2^22661408 is an apocalyptic number.

22661408 is a gapful number since it is divisible by the number (28) 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 22661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29502144).

22661408 is an abundant number, since it is smaller than the sum of its proper divisors (36342880).

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

22661408 is a wasteful number, since it uses less digits than its factorization.

22661408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 22661408 is about 4760.3999831947. The cubic root of 22661408 is about 282.9842707902.

The spelling of 22661408 in words is "twenty-two million, six hundred sixty-one thousand, four hundred eight".