21364200 has 288 divisors, whose sum is σ = 85307040. Its totient is φ = 4723200.

The previous prime is 21364199. The next prime is 21364229. The reversal of 21364200 is 246312.

It is a happy number.

21364200 is a `hidden beast` number, since 21 + 3 + 642 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257359 + ... + 257441.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 2^21364200 is an apocalyptic number.

21364200 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 21364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

21364200 is an abundant number, since it is smaller than the sum of its proper divisors (63942840).

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

21364200 is a wasteful number, since it uses less digits than its factorization.

21364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21364200 is about 4622.1423604212. The cubic root of 21364200 is about 277.4782062261.

It can be divided in two parts, 2136 and 4200, that added together give a palindrome (6336).

The spelling of 21364200 in words is "twenty-one million, three hundred sixty-four thousand, two hundred".