20801200 has 240 divisors, whose sum is σ = 66424320. Its totient is φ = 6082560.

The previous prime is 20801191. The next prime is 20801243. The reversal of 20801200 is 210802.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 904389 + ... + 904411.

It is an arithmetic number, because the mean of its divisors is an integer number (276768).

Almost surely, 2^20801200 is an apocalyptic number.

20801200 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 20801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33212160).

20801200 is an abundant number, since it is smaller than the sum of its proper divisors (45623120).

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

20801200 is a wasteful number, since it uses less digits than its factorization.

20801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 20801200 is about 4560.8332572020. The cubic root of 20801200 is about 275.0190620395.

The spelling of 20801200 in words is "twenty million, eight hundred one thousand, two hundred".