289207680 has 256 divisors, whose sum is σ = 982333440. Its totient is φ = 72253440.

The previous prime is 289207679. The next prime is 289207693. The reversal of 289207680 is 86702982.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2559304 + ... + 2559416.

It is an arithmetic number, because the mean of its divisors is an integer number (3837240).

Almost surely, 2^289207680 is an apocalyptic number.

289207680 is a gapful number since it is divisible by the number (20) 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 289207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491166720).

289207680 is an abundant number, since it is smaller than the sum of its proper divisors (693125760).

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

289207680 is a wasteful number, since it uses less digits than its factorization.

289207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 289207680 is about 17006.1071383195. The cubic root of 289207680 is about 661.3072346331.

The spelling of 289207680 in words is "two hundred eighty-nine million, two hundred seven thousand, six hundred eighty".