21966912 has 84 divisors (see below), whose sum is σ = 68708016. Its totient is φ = 6654720.

The previous prime is 21966899. The next prime is 21966961.

21966912 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4603 + ... + 8069.

Almost surely, 2^21966912 is an apocalyptic number.

21966912 is a gapful number since it is divisible by the number (22) 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 21966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34354008).

21966912 is an abundant number, since it is smaller than the sum of its proper divisors (46741104).

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

21966912 is a wasteful number, since it uses less digits than its factorization.

21966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3483 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 21966912 is about 4686.8872399493. The cubic root of 21966912 is about 280.0633870098.

The spelling of 21966912 in words is "twenty-one million, nine hundred sixty-six thousand, nine hundred twelve".