22566960 has 120 divisors (see below), whose sum is σ = 81651024. Its totient is φ = 5552640.

The previous prime is 22566919. The next prime is 22566967. The reversal of 22566960 is 6966522.

22566960 is a `hidden beast` number, since 2 + 2 + 566 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (22566967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8155 + ... + 10565.

Almost surely, 2^22566960 is an apocalyptic number.

22566960 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 22566960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40825512).

22566960 is an abundant number, since it is smaller than the sum of its proper divisors (59084064).

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

22566960 is a wasteful number, since it uses less digits than its factorization.

22566960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 22566960 is about 4750.4694504859. The cubic root of 22566960 is about 282.5905836330.

It can be divided in two parts, 2256 and 6960, that added together give a square (9216 = 96²).

The spelling of 22566960 in words is "twenty-two million, five hundred sixty-six thousand, nine hundred sixty".