21096000 has 168 divisors, whose sum is σ = 75721464. Its totient is φ = 5606400.

The previous prime is 21095989. The next prime is 21096001. The reversal of 21096000 is 69012.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 21013056 = 288^2 + 4584^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21096001) 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, 71854 + ... + 72146.

It is an arithmetic number, because the mean of its divisors is an integer number (450723).

Almost surely, 2^21096000 is an apocalyptic number.

21096000 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 21096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37860732).

21096000 is an abundant number, since it is smaller than the sum of its proper divisors (54625464).

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

21096000 is a wasteful number, since it uses less digits than its factorization.

21096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 21096000 is about 4593.0382101611. The cubic root of 21096000 is about 276.3121861327.

The spelling of 21096000 in words is "twenty-one million, ninety-six thousand".