20904800 has 72 divisors (see below), whose sum is σ = 58340016. Its totient is φ = 7165440.

The previous prime is 20904773. The next prime is 20904803. The reversal of 20904800 is 840902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20904803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3734 + ... + 7466.

It is an arithmetic number, because the mean of its divisors is an integer number (810278).

Almost surely, 2^20904800 is an apocalyptic number.

20904800 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 20904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29170008).

20904800 is an abundant number, since it is smaller than the sum of its proper divisors (37435216).

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

20904800 is a wasteful number, since it uses less digits than its factorization.

20904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 20904800 is about 4572.1767244935. The cubic root of 20904800 is about 275.4748819605.

The spelling of 20904800 in words is "twenty million, nine hundred four thousand, eight hundred".