289668960 has 480 divisors, whose sum is σ = 1217728512. Its totient is φ = 63452160.

The previous prime is 289668959. The next prime is 289668979. The reversal of 289668960 is 69866982.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 289668897 and 289668906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2812269 + ... + 2812371.

Almost surely, 2^289668960 is an apocalyptic number.

289668960 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 289668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608864256).

289668960 is an abundant number, since it is smaller than the sum of its proper divisors (928059552).

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

289668960 is a wasteful number, since it uses less digits than its factorization.

289668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 289668960 is about 17019.6639214762. The cubic root of 289668960 is about 661.6586381219.

The spelling of 289668960 in words is "two hundred eighty-nine million, six hundred sixty-eight thousand, nine hundred sixty".