22008096 has 72 divisors (see below), whose sum is σ = 68284944. Its totient is φ = 6668160.

The previous prime is 22008089. The next prime is 22008101. The reversal of 22008096 is 69080022.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 306 + ... + 6641.

It is an arithmetic number, because the mean of its divisors is an integer number (948402).

Almost surely, 2^22008096 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 22008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34142472).

22008096 is an abundant number, since it is smaller than the sum of its proper divisors (46276848).

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

22008096 is a wasteful number, since it uses less digits than its factorization.

22008096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22008096 is about 4691.2787169385. The cubic root of 22008096 is about 280.2383005326.

It can be divided in two parts, 2200 and 8096, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 22008096 in words is "twenty-two million, eight thousand, ninety-six".