22905664 has 56 divisors (see below), whose sum is σ = 49514760. Its totient is φ = 10469376.

The previous prime is 22905661. The next prime is 22905667. The reversal of 22905664 is 46650922.

It is an interprime number because it is at equal distance from previous prime (22905661) and next prime (22905667).

It can be written as a sum of positive squares in 4 ways, for example, as 6969600 + 15936064 = 2640^2 + 3992^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22905661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39972 + ... + 40540.

Almost surely, 2^22905664 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 22905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24757380).

22905664 is an abundant number, since it is smaller than the sum of its proper divisors (26609096).

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

22905664 is a wasteful number, since it uses less digits than its factorization.

22905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 22905664 is about 4785.9862097587. The cubic root of 22905664 is about 283.9973549975.

The spelling of 22905664 in words is "twenty-two million, nine hundred five thousand, six hundred sixty-four".