21384800 has 36 divisors (see below), whose sum is σ = 52207596. Its totient is φ = 8553600.

The previous prime is 21384799. The next prime is 21384809. The reversal of 21384800 is 848312.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21384800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21384809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12566 + ... + 14165.

It is an arithmetic number, because the mean of its divisors is an integer number (1450211).

Almost surely, 2^21384800 is an apocalyptic number.

21384800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21384800 is an abundant number, since it is smaller than the sum of its proper divisors (30822796).

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

21384800 is a wasteful number, since it uses less digits than its factorization.

21384800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26751 (or 26738 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 21384800 is about 4624.3702273931. The cubic root of 21384800 is about 277.5673618359.

The spelling of 21384800 in words is "twenty-one million, three hundred eighty-four thousand, eight hundred".