21873600 has 378 divisors, whose sum is σ = 93354144. Its totient is φ = 4838400.

The previous prime is 21873589. The next prime is 21873613. The reversal of 21873600 is 637812.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 705585 + ... + 705615.

Almost surely, 2^21873600 is an apocalyptic number.

21873600 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 21873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46677072).

21873600 is an abundant number, since it is smaller than the sum of its proper divisors (71480544).

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

21873600 is a wasteful number, since it uses less digits than its factorization.

21873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 21873600 is about 4676.9220647772. The cubic root of 21873600 is about 279.6662690520. Note that the first 3 decimals are identical.

The spelling of 21873600 in words is "twenty-one million, eight hundred seventy-three thousand, six hundred".