21084800 has 96 divisors (see below), whose sum is σ = 56916000. Its totient is φ = 7654400.

The previous prime is 21084797. The next prime is 21084803. The reversal of 21084800 is 848012.

It is an interprime number because it is at equal distance from previous prime (21084797) and next prime (21084803).

It is not an unprimeable number, because it can be changed into a prime (21084803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34901 + ... + 35499.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 2^21084800 is an apocalyptic number.

21084800 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 21084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28458000).

21084800 is an abundant number, since it is smaller than the sum of its proper divisors (35831200).

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

21084800 is a wasteful number, since it uses less digits than its factorization.

21084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 21084800 is about 4591.8188117564. The cubic root of 21084800 is about 276.2632788468.

The spelling of 21084800 in words is "twenty-one million, eighty-four thousand, eight hundred".