98208 has 72 divisors (see below), whose sum is σ = 314496. Its totient is φ = 28800.

The previous prime is 98207. The next prime is 98213. The reversal of 98208 is 80289.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×98208² = 19289622528, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (98207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3153 + ... + 3183.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁹⁸²⁰⁸ 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 98208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

98208 is an abundant number, since it is smaller than the sum of its proper divisors (216288).

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

98208 is a wasteful number, since it uses less digits than its factorization.

98208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 98208 is about 313.3815565728. The cubic root of 98208 is about 46.1369579237.

The spelling of 98208 in words is "ninety-eight thousand, two hundred eight".