289080 has 96 divisors (see below), whose sum is σ = 1038960. Its totient is φ = 69120.

The previous prime is 289067. The next prime is 289099. The reversal of 289080 is 80982.

289080 = 16² + 17² + ... + 95².

289080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3924 + ... + 3996.

2²⁸⁹⁰⁸⁰ is an apocalyptic number.

289080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519480).

289080 is an abundant number, since it is smaller than the sum of its proper divisors (749880).

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

289080 is a wasteful number, since it uses less digits than its factorization.

289080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 289080 is about 537.6616036133. The cubic root of 289080 is about 66.1209901883.

The spelling of 289080 in words is "two hundred eighty-nine thousand, eighty".