22884768 has 108 divisors (see below), whose sum is σ = 68198130. Its totient is φ = 7558272.

The previous prime is 22884767. The next prime is 22884769. The reversal of 22884768 is 86748822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22884767) and next prime (22884769).

It can be written as a sum of positive squares in only one way, i.e., 17740944 + 5143824 = 4212^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (22884767) 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 17 ways as a sum of consecutive naturals, for example, 209898 + ... + 210006.

Almost surely, 2^22884768 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 22884768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34099065).

22884768 is an abundant number, since it is smaller than the sum of its proper divisors (45313362).

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

22884768 is an frugal number, since it uses more digits than its factorization.

22884768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 22884768 is about 4783.8026715156. The cubic root of 22884768 is about 283.9109685878.

It can be divided in two parts, 2288 and 4768, that added together give a square (7056 = 84²).

The spelling of 22884768 in words is "twenty-two million, eight hundred eighty-four thousand, seven hundred sixty-eight".