22652800 has 48 divisors (see below), whose sum is σ = 55967400. Its totient is φ = 9059840.

The previous prime is 22652797. The next prime is 22652801. The reversal of 22652800 is 825622.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22652801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 340 + ... + 6739.

Almost surely, 2^22652800 is an apocalyptic number.

22652800 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 22652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27983700).

22652800 is an abundant number, since it is smaller than the sum of its proper divisors (33314600).

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

22652800 is an equidigital number, since it uses as much as digits as its factorization.

22652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 22652800 is about 4759.4957716128. The cubic root of 22652800 is about 282.9484354603.

The spelling of 22652800 in words is "twenty-two million, six hundred fifty-two thousand, eight hundred".