89688 has 32 divisors (see below), whose sum is σ = 232560. Its totient is φ = 28800.

The previous prime is 89681. The next prime is 89689. The reversal of 89688 is 88698.

It is a super-3 number, since 3×89688³ = 2164333957526016, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89681) by changing a digit.

89688 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 7 ways as a sum of consecutive naturals, for example, 838 + ... + 938.

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).

89688 is an abundant number, since it is smaller than the sum of its proper divisors (142872).

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 sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

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).

It can be divided in two parts, 89 and 688, that added together give a palindrome (777).

The spelling of 89688 in words is "eighty-nine thousand, six hundred eighty-eight".