98080 has 24 divisors (see below), whose sum is σ = 232092. Its totient is φ = 39168.

The previous prime is 98057. The next prime is 98081. The reversal of 98080 is 8089.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 17424 = 284^2 + 132^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (98081) by changing a digit.

98080 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 3 ways as a sum of consecutive naturals, for example, 147 + ... + 466.

2⁹⁸⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

98080 is an abundant number, since it is smaller than the sum of its proper divisors (134012).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116046).

98080 is a wasteful number, since it uses less digits than its factorization.

98080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 98080 is about 313.1772660970. The cubic root of 98080 is about 46.1169049133.

It can be divided in two parts, 980 and 80, that multiplied together give a square (78400 = 280²).

The spelling of 98080 in words is "ninety-eight thousand, eighty".