22268960 has 96 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 7483392.

The previous prime is 22268959. The next prime is 22268989. The reversal of 22268960 is 6986222.

It is a Cunningham number, because it is equal to 4719²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 22268960.

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, 65912 + ... + 66248.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^22268960 is an apocalyptic number.

22268960 is a gapful number since it is divisible by the number (20) 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 22268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

22268960 is an abundant number, since it is smaller than the sum of its proper divisors (39057760).

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

22268960 is a wasteful number, since it uses less digits than its factorization.

22268960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 22268960 is about 4718.9998940453. Note that the first 3 decimals coincide. The cubic root of 22268960 is about 281.3411845901.

The spelling of 22268960 in words is "twenty-two million, two hundred sixty-eight thousand, nine hundred sixty".