289239120 has 160 divisors (see below), whose sum is σ = 1001721600. Its totient is φ = 76709376.

The previous prime is 289239107. The next prime is 289239149. The reversal of 289239120 is 21932982.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775254 + ... + 775626.

It is an arithmetic number, because the mean of its divisors is an integer number (6260760).

Almost surely, 2^289239120 is an apocalyptic number.

289239120 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 289239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500860800).

289239120 is an abundant number, since it is smaller than the sum of its proper divisors (712482480).

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

289239120 is a wasteful number, since it uses less digits than its factorization.

289239120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 289239120 is about 17007.0314870056. The cubic root of 289239120 is about 661.3311975123.

The spelling of 289239120 in words is "two hundred eighty-nine million, two hundred thirty-nine thousand, one hundred twenty".