21996600 has 96 divisors (see below), whose sum is σ = 69422640. Its totient is φ = 5760000.

The previous prime is 21996599. The next prime is 21996613. The reversal of 21996600 is 669912.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36300 + ... + 36900.

Almost surely, 2^21996600 is an apocalyptic number.

21996600 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 21996600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34711320).

21996600 is an abundant number, since it is smaller than the sum of its proper divisors (47426040).

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

21996600 is a wasteful number, since it uses less digits than its factorization.

21996600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 21996600 is about 4690.0533046011. The cubic root of 21996600 is about 280.1894975738.

The spelling of 21996600 in words is "twenty-one million, nine hundred ninety-six thousand, six hundred".