22980800 has 84 divisors (see below), whose sum is σ = 57826656. Its totient is φ = 8985600.

The previous prime is 22980781. The next prime is 22980803. The reversal of 22980800 is 808922.

It is not an unprimeable number, because it can be changed into a prime (22980803) 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 11 ways as a sum of consecutive naturals, for example, 84665 + ... + 84935.

Almost surely, 2^22980800 is an apocalyptic number.

22980800 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 22980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28913328).

22980800 is an abundant number, since it is smaller than the sum of its proper divisors (34845856).

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

22980800 is a wasteful number, since it uses less digits than its factorization.

22980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 22980800 is about 4793.8293670092. The cubic root of 22980800 is about 284.3075422653.

The spelling of 22980800 in words is "twenty-two million, nine hundred eighty thousand, eight hundred".