289920 has 64 divisors (see below), whose sum is σ = 930240. Its totient is φ = 76800.

The previous prime is 289897. The next prime is 289937. The reversal of 289920 is 29982.

289920 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289920.

It is an unprimeable number.

289920 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 7 ways as a sum of consecutive naturals, for example, 1845 + ... + 1995.

It is an arithmetic number, because the mean of its divisors is an integer number (14535).

2²⁸⁹⁹²⁰ is an apocalyptic number.

289920 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 289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465120).

289920 is an abundant number, since it is smaller than the sum of its proper divisors (640320).

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

289920 is a wasteful number, since it uses less digits than its factorization.

289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 289920 is about 538.4421974548. The cubic root of 289920 is about 66.1849723863.

The spelling of 289920 in words is "two hundred eighty-nine thousand, nine hundred twenty".