22855968 has 72 divisors (see below), whose sum is σ = 66112956. Its totient is φ = 7488000.

The previous prime is 22855967. The next prime is 22855969. The reversal of 22855968 is 86955822.

It is an interprime number because it is at equal distance from previous prime (22855967) and next prime (22855969).

It can be written as a sum of positive squares in 2 ways, for example, as 13927824 + 8928144 = 3732^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (22855961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16918 + ... + 18218.

Almost surely, 2^22855968 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 22855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33056478).

22855968 is an abundant number, since it is smaller than the sum of its proper divisors (43256988).

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

22855968 is a wasteful number, since it uses less digits than its factorization.

22855968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1367 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 22855968 is about 4780.7915662576. The cubic root of 22855968 is about 283.7918199276.

The spelling of 22855968 in words is "twenty-two million, eight hundred fifty-five thousand, nine hundred sixty-eight".