289688 has 24 divisors (see below), whose sum is σ = 632700. Its totient is φ = 123984.

The previous prime is 289669. The next prime is 289717. The reversal of 289688 is 886982.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

289688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23 + ... + 761.

2²⁸⁹⁶⁸⁸ is an apocalyptic number.

289688 is a gapful number since it is divisible by the number (28) 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 289688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316350).

289688 is an abundant number, since it is smaller than the sum of its proper divisors (343012).

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

289688 is a wasteful number, since it uses less digits than its factorization.

289688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 289688 is about 538.2267180288. The cubic root of 289688 is about 66.1673134790.

The spelling of 289688 in words is "two hundred eighty-nine thousand, six hundred eighty-eight".