21966336 has 160 divisors (see below), whose sum is σ = 74638080. Its totient is φ = 6248448.

The previous prime is 21966331. The next prime is 21966359. The reversal of 21966336 is 63366912.

21966336 is a `hidden beast` number, since 2 + 19 + 6 + 633 + 6 = 666.

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 a self number, because there is not a number n which added to its sum of digits gives 21966336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21966331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96655 + ... + 96881.

It is an arithmetic number, because the mean of its divisors is an integer number (466488).

Almost surely, 2^21966336 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 21966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319040).

21966336 is an abundant number, since it is smaller than the sum of its proper divisors (52671744).

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

21966336 is an equidigital number, since it uses as much as digits as its factorization.

21966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 21966336 is about 4686.8257915139. The cubic root of 21966336 is about 280.0609391172.

The spelling of 21966336 in words is "twenty-one million, nine hundred sixty-six thousand, three hundred thirty-six".