98020 has 36 divisors (see below), whose sum is σ = 230580. Its totient is φ = 34944.

The previous prime is 98017. The next prime is 98041. The reversal of 98020 is 2089.

98020 = 2² + 3² + ... + 66².

98020 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 6 ways, for example, as 18496 + 79524 = 136^2 + 282^2 .

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 3366 + ... + 3394.

It is an arithmetic number, because the mean of its divisors is an integer number (6405).

2⁹⁸⁰²⁰ 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 98020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115290).

98020 is an abundant number, since it is smaller than the sum of its proper divisors (132560).

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

98020 is a wasteful number, since it uses less digits than its factorization.

98020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 98020 is about 313.0814590486. The cubic root of 98020 is about 46.1074990585.

It can be divided in two parts, 980 and 20, that multiplied together give a square (19600 = 140²).

The spelling of 98020 in words is "ninety-eight thousand, twenty".