22653664 has 48 divisors (see below), whose sum is σ = 49109760. Its totient is φ = 10200960.

The previous prime is 22653661. The next prime is 22653667. The reversal of 22653664 is 46635622.

It is an interprime number because it is at equal distance from previous prime (22653661) and next prime (22653667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22653661) 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, 48697 + ... + 49159.

It is an arithmetic number, because the mean of its divisors is an integer number (1023120).

Almost surely, 2^22653664 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 22653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554880).

22653664 is an abundant number, since it is smaller than the sum of its proper divisors (26456096).

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

22653664 is a wasteful number, since it uses less digits than its factorization.

22653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The square root of 22653664 is about 4759.5865366647. The cubic root of 22653664 is about 282.9520327248.

It can be divided in two parts, 2265 and 3664, that added together give a square (5929 = 77²).

The spelling of 22653664 in words is "twenty-two million, six hundred fifty-three thousand, six hundred sixty-four".