20084000 has 48 divisors (see below), whose sum is σ = 49356216. Its totient is φ = 8032000.

The previous prime is 20083981. The next prime is 20084011. The reversal of 20084000 is 48002.

It can be written as a sum of positive squares in 4 ways, for example, as 10523536 + 9560464 = 3244^2 + 3092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1490 + ... + 6510.

Almost surely, 2^20084000 is an apocalyptic number.

20084000 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 20084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24678108).

20084000 is an abundant number, since it is smaller than the sum of its proper divisors (29272216).

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

20084000 is an equidigital number, since it uses as much as digits as its factorization.

20084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 20084000 is about 4481.5176000993. The cubic root of 20084000 is about 271.8212493379.

The spelling of 20084000 in words is "twenty million, eighty-four thousand".