289960 has 32 divisors (see below), whose sum is σ = 712800. Its totient is φ = 105280.

The previous prime is 289957. The next prime is 289967. The reversal of 289960 is 69982.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289960.

It is not an unprimeable number, because it can be changed into a prime (289967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 769.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2²⁸⁹⁹⁶⁰ is an apocalyptic number.

289960 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 289960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356400).

289960 is an abundant number, since it is smaller than the sum of its proper divisors (422840).

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

289960 is a wasteful number, since it uses less digits than its factorization.

289960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 289960 is about 538.4793403651. The cubic root of 289960 is about 66.1880160732.

The spelling of 289960 in words is "two hundred eighty-nine thousand, nine hundred sixty".