21964032 has 54 divisors (see below), whose sum is σ = 63334362. Its totient is φ = 7320576.

The previous prime is 21964031. The next prime is 21964037. The reversal of 21964032 is 23046912.

21964032 is a `hidden beast` number, since 2 + 19 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15492096 + 6471936 = 3936^2 + 2544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21963987 and 21964005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21964031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2463 + ... + 7070.

Almost surely, 2^21964032 is an apocalyptic number.

It is an amenable number.

21964032 is an abundant number, since it is smaller than the sum of its proper divisors (41370330).

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

21964032 is an equidigital number, since it uses as much as digits as its factorization.

21964032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9555 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 21964032 is about 4686.5799897153. The cubic root of 21964032 is about 280.0511471191.

The spelling of 21964032 in words is "twenty-one million, nine hundred sixty-four thousand, thirty-two".