98688 has 32 divisors (see below), whose sum is σ = 263160. Its totient is φ = 32768.

The previous prime is 98669. The next prime is 98689. The reversal of 98688 is 88689.

98688 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98689) by changing a digit.

In principle, a polygon with 98688 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256 + ... + 512.

2⁹⁸⁶⁸⁸ 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 98688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131580).

98688 is an abundant number, since it is smaller than the sum of its proper divisors (164472).

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

98688 is a wasteful number, since it uses less digits than its factorization.

98688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

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

The square root of 98688 is about 314.1464626571. The cubic root of 98688 is about 46.2120019043.

Subtracting from 98688 its reverse (88689), we obtain a palindrome (9999).

It can be divided in two parts, 986 and 88, that multiplied together give a palindrome (86768).

The spelling of 98688 in words is "ninety-eight thousand, six hundred eighty-eight".