289884816 has 120 divisors (see below), whose sum is σ = 925175160. Its totient is φ = 83939328.

The previous prime is 289884811. The next prime is 289884827. The reversal of 289884816 is 618488982.

289884816 is a `hidden beast` number, since 2 + 89 + 88 + 481 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4410000 + 285474816 = 2100^2 + 16896^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (289884811) 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 23 ways as a sum of consecutive naturals, for example, 27270 + ... + 36378.

It is an arithmetic number, because the mean of its divisors is an integer number (7709793).

Almost surely, 2^289884816 is an apocalyptic number.

289884816 is a gapful number since it is divisible by the number (26) 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 289884816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462587580).

289884816 is an abundant number, since it is smaller than the sum of its proper divisors (635290344).

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

289884816 is a wasteful number, since it uses less digits than its factorization.

289884816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153 (or 9144 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 289884816 is about 17026.0041113586. The cubic root of 289884816 is about 661.8229492782.

The spelling of 289884816 in words is "two hundred eighty-nine million, eight hundred eighty-four thousand, eight hundred sixteen".