98120 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 35520.

The previous prime is 98101. The next prime is 98123. The reversal of 98120 is 2189.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 98092 and 98101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁹⁸¹²⁰ 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 98120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

98120 is an abundant number, since it is smaller than the sum of its proper divisors (143800).

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

98120 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (98119) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (245).

98120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 98120 is about 313.2411211830. The cubic root of 98120 is about 46.1231733523.

It can be divided in two parts, 981 and 20, that added together give a palindrome (1001).

The spelling of 98120 in words is "ninety-eight thousand, one hundred twenty".