21968496 has 200 divisors, whose sum is σ = 73459584. Its totient is φ = 6272640.

The previous prime is 21968489. The next prime is 21968509. The reversal of 21968496 is 69486912.

It is a happy number.

It is a super-2 number, since 2×21968496² = 965229633004032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327855 + ... + 327921.

Almost surely, 2^21968496 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 21968496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36729792).

21968496 is an abundant number, since it is smaller than the sum of its proper divisors (51491088).

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

21968496 is a wasteful number, since it uses less digits than its factorization.

21968496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 21968496 is about 4687.0562189929. The cubic root of 21968496 is about 280.0701184937.

The spelling of 21968496 in words is "twenty-one million, nine hundred sixty-eight thousand, four hundred ninety-six".