21976800 has 72 divisors (see below), whose sum is σ = 71542296. Its totient is φ = 5859840.

The previous prime is 21976783. The next prime is 21976813. The reversal of 21976800 is 867912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2179 + ... + 6978.

It is an arithmetic number, because the mean of its divisors is an integer number (993643).

Almost surely, 2^21976800 is an apocalyptic number.

21976800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21976800 is an abundant number, since it is smaller than the sum of its proper divisors (49565496).

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

21976800 is a wasteful number, since it uses less digits than its factorization.

21976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 21976800 is about 4687.9419791631. The cubic root of 21976800 is about 280.1054024944.

The spelling of 21976800 in words is "twenty-one million, nine hundred seventy-six thousand, eight hundred".