20088800 has 36 divisors (see below), whose sum is σ = 49043736. Its totient is φ = 8035200.

The previous prime is 20088779. The next prime is 20088823. The reversal of 20088800 is 888002.

It is a self number, because there is not a number n which added to its sum of digits gives 20088800.

It is a congruent number.

It is an unprimeable number.

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, 11756 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (1362326).

Almost surely, 2^20088800 is an apocalyptic number.

20088800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20088800 is an abundant number, since it is smaller than the sum of its proper divisors (28954936).

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

20088800 is a wasteful number, since it uses less digits than its factorization.

20088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25131 (or 25118 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 20088800 is about 4482.0531009795. The cubic root of 20088800 is about 271.8429023630.

The spelling of 20088800 in words is "twenty million, eighty-eight thousand, eight hundred".