89080 has 32 divisors (see below), whose sum is σ = 213840. Its totient is φ = 33280.

The previous prime is 89071. The next prime is 89083. The reversal of 89080 is 8098.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89083) by changing a digit.

89080 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, 615 + ... + 745.

2⁸⁹⁰⁸⁰ 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 89080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106920).

89080 is an abundant number, since it is smaller than the sum of its proper divisors (124760).

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

89080 is a wasteful number, since it uses less digits than its factorization.

89080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

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

The square root of 89080 is about 298.4627279913. The cubic root of 89080 is about 44.6608244630.

The spelling of 89080 in words is "eighty-nine thousand, eighty".