21085200 has 90 divisors (see below), whose sum is σ = 73183994. Its totient is φ = 5621760.

The previous prime is 21085171. The next prime is 21085201. The reversal of 21085200 is 258012.

It can be written as a sum of positive squares in 3 ways, for example, as 5308416 + 15776784 = 2304^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (21085201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 672 + ... + 6528.

Almost surely, 2^21085200 is an apocalyptic number.

21085200 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 21085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36591997).

21085200 is an abundant number, since it is smaller than the sum of its proper divisors (52098794).

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

21085200 is a wasteful number, since it uses less digits than its factorization.

21085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 21085200 is about 4591.8623672754. The cubic root of 21085200 is about 276.2650258338.

The spelling of 21085200 in words is "twenty-one million, eighty-five thousand, two hundred".