21986496 has 252 divisors, whose sum is σ = 79049880. Its totient is φ = 5806080.

The previous prime is 21986449. The next prime is 21986507. The reversal of 21986496 is 69468912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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

Its product of digits (186624) is a multiple of the sum of its prime divisors (72).

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 35 ways as a sum of consecutive naturals, for example, 536236 + ... + 536276.

It is an arithmetic number, because the mean of its divisors is an integer number (313690).

Almost surely, 2^21986496 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 21986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39524940).

21986496 is an abundant number, since it is smaller than the sum of its proper divisors (57063384).

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

21986496 is a wasteful number, since it uses less digits than its factorization.

21986496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

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

The square root of 21986496 is about 4688.9760076162. The cubic root of 21986496 is about 280.1465899083.

The spelling of 21986496 in words is "twenty-one million, nine hundred eighty-six thousand, four hundred ninety-six".