98340 has 48 divisors (see below), whose sum is σ = 302400. Its totient is φ = 23680.

The previous prime is 98327. The next prime is 98347. The reversal of 98340 is 4389.

98340 = T₈₉ + T₉₀ + ... + T₁₀₈.

It is a d-powerful number, because it can be written as 9 + 8⁵ + 3³ + 4⁸ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 98340.

It is not an unprimeable number, because it can be changed into a prime (98347) by changing a digit.

98340 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 15 ways as a sum of consecutive naturals, for example, 586 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁹⁸³⁴⁰ 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 98340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

98340 is an abundant number, since it is smaller than the sum of its proper divisors (204060).

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

98340 is a wasteful number, since it uses less digits than its factorization.

98340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 98340 is about 313.5920917370. The cubic root of 98340 is about 46.1576193496.

The spelling of 98340 in words is "ninety-eight thousand, three hundred forty".