289368 has 24 divisors (see below), whose sum is σ = 783900. Its totient is φ = 96432.

The previous prime is 289361. The next prime is 289369. The reversal of 289368 is 863982.

289368 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 (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a zygodrome in base 3 and base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289368.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1938 + ... + 2081.

2²⁸⁹³⁶⁸ is an apocalyptic number.

It is an amenable number.

289368 is an abundant number, since it is smaller than the sum of its proper divisors (494532).

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

289368 is a wasteful number, since it uses less digits than its factorization.

289368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4024 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 289368 is about 537.9293633926. The cubic root of 289368 is about 66.1429408880.

The spelling of 289368 in words is "two hundred eighty-nine thousand, three hundred sixty-eight".