21382800 has 120 divisors (see below), whose sum is σ = 69561024. Its totient is φ = 5614080.

The previous prime is 21382799. The next prime is 21382813. The reversal of 21382800 is 828312.

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

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

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, 123514 + ... + 123686.

Almost surely, 2^21382800 is an apocalyptic number.

21382800 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 21382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34780512).

21382800 is an abundant number, since it is smaller than the sum of its proper divisors (48178224).

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

21382800 is a wasteful number, since it uses less digits than its factorization.

21382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 21382800 is about 4624.1539766751. The cubic root of 21382800 is about 277.5587084617.

The spelling of 21382800 in words is "twenty-one million, three hundred eighty-two thousand, eight hundred".