21633696 has 192 divisors, whose sum is σ = 74592000. Its totient is φ = 6096384.

The previous prime is 21633683. The next prime is 21633713. The reversal of 21633696 is 69633612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21633696.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296316 + ... + 296388.

It is an arithmetic number, because the mean of its divisors is an integer number (388500).

Almost surely, 2^21633696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21633696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37296000).

21633696 is an abundant number, since it is smaller than the sum of its proper divisors (52958304).

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

21633696 is an equidigital number, since it uses as much as digits as its factorization.

21633696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 21633696 is about 4651.2037151688. The cubic root of 21633696 is about 278.6400723484.

The spelling of 21633696 in words is "twenty-one million, six hundred thirty-three thousand, six hundred ninety-six".