22126896 has 120 divisors (see below), whose sum is σ = 68961360. Its totient is φ = 6566400.

The previous prime is 22126889. The next prime is 22126903. The reversal of 22126896 is 69862122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22126889) and next prime (22126903).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 self number, because there is not a number n which added to its sum of digits gives 22126896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96510 + ... + 96738.

It is an arithmetic number, because the mean of its divisors is an integer number (574678).

Almost surely, 2^22126896 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 22126896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34480680).

22126896 is an abundant number, since it is smaller than the sum of its proper divisors (46834464).

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

22126896 is a wasteful number, since it uses less digits than its factorization.

22126896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 22126896 is about 4703.9234687652. The cubic root of 22126896 is about 280.7416393190.

The spelling of 22126896 in words is "twenty-two million, one hundred twenty-six thousand, eight hundred ninety-six".