20844000 has 192 divisors, whose sum is σ = 76265280. Its totient is φ = 5529600.

The previous prime is 20843981. The next prime is 20844001. The reversal of 20844000 is 44802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20844001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107904 + ... + 108096.

It is an arithmetic number, because the mean of its divisors is an integer number (397215).

Almost surely, 2^20844000 is an apocalyptic number.

20844000 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 20844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38132640).

20844000 is an abundant number, since it is smaller than the sum of its proper divisors (55421280).

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

20844000 is a wasteful number, since it uses less digits than its factorization.

20844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20844000 is about 4565.5229711392. The cubic root of 20844000 is about 275.2075568053.

Adding to 20844000 its reverse (44802), we get a palindrome (20888802).

It can be divided in two parts, 2084 and 4000, that added together give a square (6084 = 78²).

The spelling of 20844000 in words is "twenty million, eight hundred forty-four thousand".