20684000 has 48 divisors (see below), whose sum is σ = 50830416. Its totient is φ = 8272000.

The previous prime is 20683997. The next prime is 20684009. The reversal of 20684000 is 48602.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20684009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1415 + ... + 6585.

It is an arithmetic number, because the mean of its divisors is an integer number (1058967).

Almost surely, 2^20684000 is an apocalyptic number.

20684000 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 20684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25415208).

20684000 is an abundant number, since it is smaller than the sum of its proper divisors (30146416).

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

20684000 is an equidigital number, since it uses as much as digits as its factorization.

20684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 20684000 is about 4547.9665785931. The cubic root of 20684000 is about 274.5015765175.

The spelling of 20684000 in words is "twenty million, six hundred eighty-four thousand".