20903200 has 144 divisors (see below), whose sum is σ = 56949480. Its totient is φ = 7454720.

The previous prime is 20903191. The next prime is 20903227. The reversal of 20903200 is 230902.

It can be written as a sum of positive squares in 12 ways, for example, as 5253264 + 15649936 = 2292^2 + 3956^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 394374 + ... + 394426.

Almost surely, 2^20903200 is an apocalyptic number.

20903200 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 20903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28474740).

20903200 is an abundant number, since it is smaller than the sum of its proper divisors (36046280).

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

20903200 is a wasteful number, since it uses less digits than its factorization.

20903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 20903200 is about 4572.0017497809. The cubic root of 20903200 is about 275.4678537332.

Subtracting from 20903200 its sum of digits (16), we obtain a square (20903184 = 4572²).

The spelling of 20903200 in words is "twenty million, nine hundred three thousand, two hundred".