20944000 has 256 divisors, whose sum is σ = 68739840. Its totient is φ = 6144000.

The previous prime is 20943991. The next prime is 20944019. The reversal of 20944000 is 44902.

It is a super-2 number, since 2×20944000² = 877302272000000, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1231992 + ... + 1232008.

It is an arithmetic number, because the mean of its divisors is an integer number (268515).

Almost surely, 2^20944000 is an apocalyptic number.

20944000 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 20944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34369920).

20944000 is an abundant number, since it is smaller than the sum of its proper divisors (47795840).

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

20944000 is a wasteful number, since it uses less digits than its factorization.

20944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20944000 is about 4576.4615151883. The cubic root of 20944000 is about 275.6469616210.

Adding to 20944000 its reverse (44902), we get a palindrome (20988902).

The spelling of 20944000 in words is "twenty million, nine hundred forty-four thousand".