22005664 has 48 divisors (see below), whose sum is σ = 46811520. Its totient is φ = 10151680.

The previous prime is 22005649. The next prime is 22005673. The reversal of 22005664 is 46650022.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20829 + ... + 21859.

It is an arithmetic number, because the mean of its divisors is an integer number (975240).

Almost surely, 2^22005664 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 22005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405760).

22005664 is an abundant number, since it is smaller than the sum of its proper divisors (24805856).

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

22005664 is a wasteful number, since it uses less digits than its factorization.

22005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 22005664 is about 4691.0195053954. The cubic root of 22005664 is about 280.2279775943.

Adding to 22005664 its reverse (46650022), we get a palindrome (68655686).

The spelling of 22005664 in words is "twenty-two million, five thousand, six hundred sixty-four".