289689120 has 288 divisors, whose sum is σ = 1169925120. Its totient is φ = 63866880.

The previous prime is 289689119. The next prime is 289689131. The reversal of 289689120 is 21986982.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291825 + ... + 292815.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^289689120 is an apocalyptic number.

289689120 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 289689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

289689120 is an abundant number, since it is smaller than the sum of its proper divisors (880236000).

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

289689120 is a wasteful number, since it uses less digits than its factorization.

289689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 289689120 is about 17020.2561672849. The cubic root of 289689120 is about 661.6739875156.

The spelling of 289689120 in words is "two hundred eighty-nine million, six hundred eighty-nine thousand, one hundred twenty".