289980 has 60 divisors (see below), whose sum is σ = 914760. Its totient is φ = 76896.

The previous prime is 289973. The next prime is 289987. The reversal of 289980 is 89982.

It is an interprime number because it is at equal distance from previous prime (289973) and next prime (289987).

It is a tau number, because it is divible by the number of its divisors (60).

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

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 289980.

It is not an unprimeable number, because it can be changed into a prime (289987) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1531 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (15246).

2²⁸⁹⁹⁸⁰ is an apocalyptic number.

289980 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 289980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457380).

289980 is an abundant number, since it is smaller than the sum of its proper divisors (624780).

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

289980 is a wasteful number, since it uses less digits than its factorization.

289980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 289980 is about 538.4979108595. The cubic root of 289980 is about 66.1895378117.

The spelling of 289980 in words is "two hundred eighty-nine thousand, nine hundred eighty".