289856 has 28 divisors (see below), whose sum is σ = 658368. Its totient is φ = 124032.

The previous prime is 289853. The next prime is 289859. The reversal of 289856 is 658982.

It is an interprime number because it is at equal distance from previous prime (289853) and next prime (289859).

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125 + ... + 771.

289856 is a Friedman number, since it can be written as 56*((9*8)^2-8), using all its digits and the basic arithmetic operations.

2²⁸⁹⁸⁵⁶ 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 289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329184).

289856 is an abundant number, since it is smaller than the sum of its proper divisors (368512).

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

289856 is an equidigital number, since it uses as much as digits as its factorization.

289856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 289856 is about 538.3827634685. The cubic root of 289856 is about 66.1801019048.

The spelling of 289856 in words is "two hundred eighty-nine thousand, eight hundred fifty-six".