98368 has 28 divisors (see below), whose sum is σ = 205740. Its totient is φ = 46592.

The previous prime is 98347. The next prime is 98369. The reversal of 98368 is 86389.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 36864 = 248^2 + 192^2 .

It is not an unprimeable number, because it can be changed into a prime (98369) by changing a digit.

98368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1830 + ... + 1882.

2⁹⁸³⁶⁸ 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 98368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102870).

98368 is an abundant number, since it is smaller than the sum of its proper divisors (107372).

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

98368 is a wasteful number, since it uses less digits than its factorization.

98368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 98368 is about 313.6367325426. The cubic root of 98368 is about 46.1619996991.

The spelling of 98368 in words is "ninety-eight thousand, three hundred sixty-eight".