22560768 has 150 divisors (see below), whose sum is σ = 71366526. Its totient is φ = 7077888.

The previous prime is 22560763. The next prime is 22560779. The reversal of 22560768 is 86706522.

22560768 is a `hidden beast` number, since 22 + 560 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 1327104 = 4608^2 + 1152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22560763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327096 + ... + 1327112.

Almost surely, 2^22560768 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 22560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35683263).

22560768 is an abundant number, since it is smaller than the sum of its proper divisors (48805758).

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

22560768 is an frugal number, since it uses more digits than its factorization.

22560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 22560768 is about 4749.8176807115. The cubic root of 22560768 is about 282.5647352104.

The spelling of 22560768 in words is "twenty-two million, five hundred sixty thousand, seven hundred sixty-eight".