289168 has 40 divisors (see below), whose sum is σ = 642816. Its totient is φ = 124800.

The previous prime is 289151. The next prime is 289169. The reversal of 289168 is 861982.

It is not an unprimeable number, because it can be changed into a prime (289169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5430 + ... + 5482.

2²⁸⁹¹⁶⁸ 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 289168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408).

289168 is an abundant number, since it is smaller than the sum of its proper divisors (353648).

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

289168 is a wasteful number, since it uses less digits than its factorization.

289168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 289168 is about 537.7434332467. The cubic root of 289168 is about 66.1276988927.

The spelling of 289168 in words is "two hundred eighty-nine thousand, one hundred sixty-eight".