21796800 has 168 divisors, whose sum is σ = 75590400. Its totient is φ = 5483520.

The previous prime is 21796793. The next prime is 21796807. The reversal of 21796800 is 869712.

It is an interprime number because it is at equal distance from previous prime (21796793) and next prime (21796807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21796807) by changing a digit.

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, 91081 + ... + 91319.

Almost surely, 2^21796800 is an apocalyptic number.

21796800 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 21796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37795200).

21796800 is an abundant number, since it is smaller than the sum of its proper divisors (53793600).

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

21796800 is a wasteful number, since it uses less digits than its factorization.

21796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 21796800 is about 4668.7043170456. The cubic root of 21796800 is about 279.3385748446.

The spelling of 21796800 in words is "twenty-one million, seven hundred ninety-six thousand, eight hundred".