21841600 has 168 divisors, whose sum is σ = 62929008. Its totient is φ = 7372800.

The previous prime is 21841591. The next prime is 21841607. The reversal of 21841600 is 614812.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21841607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299164 + ... + 299236.

Almost surely, 2^21841600 is an apocalyptic number.

21841600 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 21841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31464504).

21841600 is an abundant number, since it is smaller than the sum of its proper divisors (41087408).

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

21841600 is a wasteful number, since it uses less digits than its factorization.

21841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 21841600 is about 4673.4997592810. The cubic root of 21841600 is about 279.5298231645.

The spelling of 21841600 in words is "twenty-one million, eight hundred forty-one thousand, six hundred".