98496 has 70 divisors (see below), whose sum is σ = 307340. Its totient is φ = 31104.

The previous prime is 98491. The next prime is 98507. The reversal of 98496 is 69489.

98496 = 31³ + 32³ + 33³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime divisors (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 98496.

It is not an unprimeable number, because it can be changed into a prime (98491) by changing a digit.

98496 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 9 ways as a sum of consecutive naturals, for example, 5175 + ... + 5193.

2⁹⁸⁴⁹⁶ is an apocalyptic number.

98496 is a gapful number since it is divisible by the number (96) 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 98496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153670).

98496 is an abundant number, since it is smaller than the sum of its proper divisors (208844).

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

98496 is a wasteful number, since it uses less digits than its factorization.

98496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 24 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 98496 is about 313.8407239349. The cubic root of 98496 is about 46.1820135753.

Subtracting from 98496 its product of digits (15552), we obtain a square (82944 = 288²).

The spelling of 98496 in words is "ninety-eight thousand, four hundred ninety-six".