21634600 has 96 divisors (see below), whose sum is σ = 55543320. Its totient is φ = 7787520.

The previous prime is 21634579. The next prime is 21634607. The reversal of 21634600 is 643612.

It can be written as a sum of positive squares in 12 ways, for example, as 86436 + 21548164 = 294^2 + 4642^2 .

It is not an unprimeable number, because it can be changed into a prime (21634607) 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, 137722 + ... + 137878.

Almost surely, 2^21634600 is an apocalyptic number.

21634600 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 21634600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27771660).

21634600 is an abundant number, since it is smaller than the sum of its proper divisors (33908720).

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

21634600 is a wasteful number, since it uses less digits than its factorization.

21634600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 21634600 is about 4651.3008932986. The cubic root of 21634600 is about 278.6439534408.

The spelling of 21634600 in words is "twenty-one million, six hundred thirty-four thousand, six hundred".