22664400 has 240 divisors, whose sum is σ = 84691008. Its totient is φ = 5120000.

The previous prime is 22664393. The next prime is 22664401. The reversal of 22664400 is 446622.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22664401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224350 + ... + 224450.

Almost surely, 2^22664400 is an apocalyptic number.

22664400 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 22664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42345504).

22664400 is an abundant number, since it is smaller than the sum of its proper divisors (62026608).

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

22664400 is a wasteful number, since it uses less digits than its factorization.

22664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 22664400 is about 4760.7142321295. The cubic root of 22664400 is about 282.9967244394.

It can be divided in two parts, 2266 and 4400, that added together give a palindrome (6666).

The spelling of 22664400 in words is "twenty-two million, six hundred sixty-four thousand, four hundred".