21364800 has 84 divisors (see below), whose sum is σ = 70110096. Its totient is φ = 5696000.

The previous prime is 21364771. The next prime is 21364807. The reversal of 21364800 is 846312.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21364807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2575 + ... + 7025.

It is an arithmetic number, because the mean of its divisors is an integer number (834644).

Almost surely, 2^21364800 is an apocalyptic number.

21364800 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 21364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35055048).

21364800 is an abundant number, since it is smaller than the sum of its proper divisors (48745296).

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

21364800 is a wasteful number, since it uses less digits than its factorization.

21364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21364800 is about 4622.2072649331. The cubic root of 21364800 is about 277.4808038016.

The spelling of 21364800 in words is "twenty-one million, three hundred sixty-four thousand, eight hundred".