It is a congruent number.
89688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
289688 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 89688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
89688 is a wasteful number, since it uses less digits than its factorization.
89688 is an odious number, because the sum of its binary digits is odd.
The square root of 89688 is about 299.4795485505. The cubic root of 89688 is about 44.7622023880.
Subtracting from 89688 its reverse (88698), we obtain a triangular number (990 = T44).
The spelling of 89688 in words is "eighty-nine thousand, six hundred eighty-eight".