289345968 has 120 divisors (see below), whose sum is σ = 840071232. Its totient is φ = 92905344.

The previous prime is 289345951. The next prime is 289345993. The reversal of 289345968 is 869543982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513655 + ... + 514217.

Almost surely, 2^289345968 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 289345968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420035616).

289345968 is an abundant number, since it is smaller than the sum of its proper divisors (550725264).

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

289345968 is a wasteful number, since it uses less digits than its factorization.

289345968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 694 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 289345968 is about 17010.1724858980. The cubic root of 289345968 is about 661.4126217407.

The spelling of 289345968 in words is "two hundred eighty-nine million, three hundred forty-five thousand, nine hundred sixty-eight".