289594116 has 360 divisors, whose sum is σ = 990685080. Its totient is φ = 73156608.

The previous prime is 289594103. The next prime is 289594117. The reversal of 289594116 is 611495982.

It can be written as a sum of positive squares in 4 ways, for example, as 143280900 + 146313216 = 11970^2 + 12096^2 .

It is not an unprimeable number, because it can be changed into a prime (289594117) 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 119 ways as a sum of consecutive naturals, for example, 7826850 + ... + 7826886.

It is an arithmetic number, because the mean of its divisors is an integer number (2751903).

Almost surely, 2^289594116 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 289594116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495342540).

289594116 is an abundant number, since it is smaller than the sum of its proper divisors (701090964).

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

289594116 is a wasteful number, since it uses less digits than its factorization.

289594116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 289594116 is about 17017.4650286110. The cubic root of 289594116 is about 661.6016472673.

The spelling of 289594116 in words is "two hundred eighty-nine million, five hundred ninety-four thousand, one hundred sixteen".