289320 has 32 divisors (see below), whose sum is σ = 868320. Its totient is φ = 77120.

The previous prime is 289319. The next prime is 289343. The reversal of 289320 is 23982.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1086 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (27135).

2²⁸⁹³²⁰ is an apocalyptic number.

289320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289320 is an abundant number, since it is smaller than the sum of its proper divisors (579000).

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

289320 is a wasteful number, since it uses less digits than its factorization.

289320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 289320 is about 537.8847460191. The cubic root of 289320 is about 66.1392834498.

The spelling of 289320 in words is "two hundred eighty-nine thousand, three hundred twenty".