98592 has 48 divisors (see below), whose sum is σ = 282240. Its totient is φ = 29952.

The previous prime is 98573. The next prime is 98597. The reversal of 98592 is 29589.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98592.

It is not an unprimeable number, because it can be changed into a prime (98597) by changing a digit.

98592 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, 1209 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2⁹⁸⁵⁹² 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 98592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

98592 is an abundant number, since it is smaller than the sum of its proper divisors (183648).

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

98592 is a wasteful number, since it uses less digits than its factorization.

98592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 98592 is about 313.9936305086. The cubic root of 98592 is about 46.1970126064.

The spelling of 98592 in words is "ninety-eight thousand, five hundred ninety-two".