22688672 has 48 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 10467072.

The previous prime is 22688671. The next prime is 22688719. The reversal of 22688672 is 27688622.

It is not an unprimeable number, because it can be changed into a prime (22688671) 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, 20813 + ... + 21875.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^22688672 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 22688672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

22688672 is an abundant number, since it is smaller than the sum of its proper divisors (25574368).

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

22688672 is a wasteful number, since it uses less digits than its factorization.

22688672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1117 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 22688672 is about 4763.2627473193. The cubic root of 22688672 is about 283.0977116840.

The spelling of 22688672 in words is "twenty-two million, six hundred eighty-eight thousand, six hundred seventy-two".