289360 has 20 divisors (see below), whose sum is σ = 672948. Its totient is φ = 115712.

The previous prime is 289349. The next prime is 289361. The reversal of 289360 is 63982.

289360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 254016 = 188^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1729 + ... + 1888.

2²⁸⁹³⁶⁰ is an apocalyptic number.

289360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289360 is an abundant number, since it is smaller than the sum of its proper divisors (383588).

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

289360 is a wasteful number, since it uses less digits than its factorization.

289360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 289360 is about 537.9219274207. The cubic root of 289360 is about 66.1423313430.

The spelling of 289360 in words is "two hundred eighty-nine thousand, three hundred sixty".