22008864 has 48 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 7230720.

The previous prime is 22008851. The next prime is 22008869. The reversal of 22008864 is 46880022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (22008869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5202 + ... + 8430.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^22008864 is an apocalyptic number.

22008864 is a gapful number since it is divisible by the number (24) 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 22008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

22008864 is an abundant number, since it is smaller than the sum of its proper divisors (36596256).

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

22008864 is a wasteful number, since it uses less digits than its factorization.

22008864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 22008864 is about 4691.3605702397. The cubic root of 22008864 is about 280.2415602499.

Adding to 22008864 its reverse (46880022), we get a palindrome (68888886).

The spelling of 22008864 in words is "twenty-two million, eight thousand, eight hundred sixty-four".