289520 has 80 divisors (see below), whose sum is σ = 857088. Its totient is φ = 88320.

The previous prime is 289511. The next prime is 289543. The reversal of 289520 is 25982.

289520 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (80).

289520 is an undulating number in base 13.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 289520.

It is a congruent number.

It is an unprimeable number.

289520 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 15 ways as a sum of consecutive naturals, for example, 6137 + ... + 6183.

2²⁸⁹⁵²⁰ is an apocalyptic number.

289520 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 289520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544).

289520 is an abundant number, since it is smaller than the sum of its proper divisors (567568).

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

289520 is a wasteful number, since it uses less digits than its factorization.

289520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 289520 is about 538.0706273344. The cubic root of 289520 is about 66.1545201080.

The spelling of 289520 in words is "two hundred eighty-nine thousand, five hundred twenty".