22561600 has 84 divisors (see below), whose sum is σ = 56692800. Its totient is φ = 8834560.

The previous prime is 22561577. The next prime is 22561613. The reversal of 22561600 is 616522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94281 + ... + 94519.

Almost surely, 2^22561600 is an apocalyptic number.

22561600 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 22561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28346400).

22561600 is an abundant number, since it is smaller than the sum of its proper divisors (34131200).

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

22561600 is a wasteful number, since it uses less digits than its factorization.

22561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 22561600 is about 4749.9052622131. The cubic root of 22561600 is about 282.5682086585.

The spelling of 22561600 in words is "twenty-two million, five hundred sixty-one thousand, six hundred".