22565664 has 144 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 6420480.

The previous prime is 22565659. The next prime is 22565693. The reversal of 22565664 is 46656522.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 53647 + ... + 54065.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^22565664 is an apocalyptic number.

22565664 is a gapful number since it is divisible by the number (24) 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 22565664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

22565664 is an abundant number, since it is smaller than the sum of its proper divisors (51734016).

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

22565664 is a wasteful number, since it uses less digits than its factorization.

22565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 22565664 is about 4750.3330409562. Note that the first 3 decimals coincide. The cubic root of 22565664 is about 282.5851738893.

The spelling of 22565664 in words is "twenty-two million, five hundred sixty-five thousand, six hundred sixty-four".