289961616 has 120 divisors (see below), whose sum is σ = 879881184. Its totient is φ = 82037760.

The previous prime is 289961597. The next prime is 289961647. The reversal of 289961616 is 616169982.

289961616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 265231 + ... + 266321.

Almost surely, 2^289961616 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 289961616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439940592).

289961616 is an abundant number, since it is smaller than the sum of its proper divisors (589919568).

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

289961616 is a wasteful number, since it uses less digits than its factorization.

289961616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1216 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 289961616 is about 17028.2593355868. The cubic root of 289961616 is about 661.8813903230.

The spelling of 289961616 in words is "two hundred eighty-nine million, nine hundred sixty-one thousand, six hundred sixteen".