21845600 has 144 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 7242240.

The previous prime is 21845597. The next prime is 21845627. The reversal of 21845600 is 654812.

It is a self number, because there is not a number n which added to its sum of digits gives 21845600.

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 23 ways as a sum of consecutive naturals, for example, 263159 + ... + 263241.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^21845600 is an apocalyptic number.

21845600 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 21845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

21845600 is an abundant number, since it is smaller than the sum of its proper divisors (41150368).

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

21845600 is a wasteful number, since it uses less digits than its factorization.

21845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 21845600 is about 4673.9276845069. The cubic root of 21845600 is about 279.5468861856.

The spelling of 21845600 in words is "twenty-one million, eight hundred forty-five thousand, six hundred".