21589200 has 120 divisors (see below), whose sum is σ = 76880000. Its totient is φ = 5754240.

The previous prime is 21589171. The next prime is 21589207. The reversal of 21589200 is 298512.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21589207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9801 + ... + 11799.

Almost surely, 2^21589200 is an apocalyptic number.

21589200 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 21589200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38440000).

21589200 is an abundant number, since it is smaller than the sum of its proper divisors (55290800).

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

21589200 is a wasteful number, since it uses less digits than its factorization.

21589200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 21589200 is about 4646.4179751718. The cubic root of 21589200 is about 278.4489063903.

The spelling of 21589200 in words is "twenty-one million, five hundred eighty-nine thousand, two hundred".