289680 has 80 divisors (see below), whose sum is σ = 964224. Its totient is φ = 71680.

The previous prime is 289669. The next prime is 289717. The reversal of 289680 is 86982.

289680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

289680 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 15 ways as a sum of consecutive naturals, for example, 4045 + ... + 4115.

2²⁸⁹⁶⁸⁰ is an apocalyptic number.

289680 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 289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112).

289680 is an abundant number, since it is smaller than the sum of its proper divisors (674544).

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

289680 is a wasteful number, since it uses less digits than its factorization.

289680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 289680 is about 538.2192861650. The cubic root of 289680 is about 66.1667043830.

It can be divided in two parts, 289 and 680, that added together give a palindrome (969).

The spelling of 289680 in words is "two hundred eighty-nine thousand, six hundred eighty".