98160 has 40 divisors (see below), whose sum is σ = 305040. Its totient is φ = 26112.

The previous prime is 98143. The next prime is 98179. The reversal of 98160 is 6189.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 98160.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98160.

It is an unprimeable number.

98160 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (7626).

2⁹⁸¹⁶⁰ 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 98160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152520).

98160 is an abundant number, since it is smaller than the sum of its proper divisors (206880).

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

98160 is a wasteful number, since it uses less digits than its factorization.

98160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 98160 is about 313.3049632547. The cubic root of 98160 is about 46.1294400878.

The spelling of 98160 in words is "ninety-eight thousand, one hundred sixty".