21964896 has 72 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 7178496.

The previous prime is 21964837. The next prime is 21964903. The reversal of 21964896 is 69846912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 12.

It is a congruent number.

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, 14545 + ... + 15983.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^21964896 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 21964896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

21964896 is an abundant number, since it is smaller than the sum of its proper divisors (41720544).

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

21964896 is a wasteful number, since it uses less digits than its factorization.

21964896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1497 counting only the distinct ones).

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

The square root of 21964896 is about 4686.6721669005. The cubic root of 21964896 is about 280.0548191986.

The spelling of 21964896 in words is "twenty-one million, nine hundred sixty-four thousand, eight hundred ninety-six".