289168512 has 128 divisors (see below), whose sum is σ = 829872000. Its totient is φ = 88940544.

The previous prime is 289168501. The next prime is 289168513. The reversal of 289168512 is 215861982.

It is a happy number.

289168512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (289168513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255564 + ... + 256692.

It is an arithmetic number, because the mean of its divisors is an integer number (6483375).

Almost surely, 2^289168512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289168512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414936000).

289168512 is an abundant number, since it is smaller than the sum of its proper divisors (540703488).

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

289168512 is a wasteful number, since it uses less digits than its factorization.

289168512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1186 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 289168512 is about 17004.9555130262. The cubic root of 289168512 is about 661.2773792121.

The spelling of 289168512 in words is "two hundred eighty-nine million, one hundred sixty-eight thousand, five hundred twelve".