22680400 has 30 divisors (see below), whose sum is σ = 54490622. Its totient is φ = 9072000.

The previous prime is 22680391. The next prime is 22680401. The reversal of 22680400 is 408622.

It can be written as a sum of positive squares in 3 ways, for example, as 2286144 + 20394256 = 1512^2 + 4516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22680401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27951 + ... + 28750.

Almost surely, 2^22680400 is an apocalyptic number.

22680400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22680400 is an abundant number, since it is smaller than the sum of its proper divisors (31810222).

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

22680400 is a wasteful number, since it uses less digits than its factorization.

22680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56719 (or 56708 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 22680400 is about 4762.3943557837. The cubic root of 22680400 is about 283.0633028988.

The spelling of 22680400 in words is "twenty-two million, six hundred eighty thousand, four hundred".