98600 has 48 divisors (see below), whose sum is σ = 251100. Its totient is φ = 35840.

The previous prime is 98597. The next prime is 98621. The reversal of 98600 is 689.

98600 = 68² + 69² + ... + 84².

It can be written as a sum of positive squares in 6 ways, for example, as 51076 + 47524 = 226^2 + 218^2 .

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3386 + ... + 3414.

2⁹⁸⁶⁰⁰ 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 98600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125550).

98600 is an abundant number, since it is smaller than the sum of its proper divisors (152500).

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

98600 is a wasteful number, since it uses less digits than its factorization.

98600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 98600 is about 314.0063693622. The cubic root of 98600 is about 46.1982620861.

The spelling of 98600 in words is "ninety-eight thousand, six hundred".