21334800 has 120 divisors (see below), whose sum is σ = 71406144. Its totient is φ = 5434880.

The previous prime is 21334787. The next prime is 21334849. The reversal of 21334800 is 843312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27214 + ... + 27986.

Almost surely, 2^21334800 is an apocalyptic number.

21334800 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 21334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35703072).

21334800 is an abundant number, since it is smaller than the sum of its proper divisors (50071344).

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

21334800 is a wasteful number, since it uses less digits than its factorization.

21334800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21334800 is about 4618.9609221122. The cubic root of 21334800 is about 277.3508654063.

The spelling of 21334800 in words is "twenty-one million, three hundred thirty-four thousand, eight hundred".