20084900 has 108 divisors (see below), whose sum is σ = 51715440. Its totient is φ = 6696000.

The previous prime is 20084899. The next prime is 20084927. The reversal of 20084900 is 948002.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 647885 + ... + 647915.

Almost surely, 2^20084900 is an apocalyptic number.

20084900 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 20084900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25857720).

20084900 is an abundant number, since it is smaller than the sum of its proper divisors (31630540).

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

20084900 is a wasteful number, since it uses less digits than its factorization.

20084900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 68 counting only the distinct ones).

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

The square root of 20084900 is about 4481.6180113883. The cubic root of 20084900 is about 271.8253095429.

The spelling of 20084900 in words is "twenty million, eighty-four thousand, nine hundred".