289822960 has 80 divisors (see below), whose sum is σ = 810662400. Its totient is φ = 94134528.

The previous prime is 289822943. The next prime is 289822963. The reversal of 289822960 is 69228982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 289822960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289822963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2980 + ... + 24259.

It is an arithmetic number, because the mean of its divisors is an integer number (10133280).

Almost surely, 2^289822960 is an apocalyptic number.

289822960 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 289822960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405331200).

289822960 is an abundant number, since it is smaller than the sum of its proper divisors (520839440).

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

289822960 is a wasteful number, since it uses less digits than its factorization.

289822960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27278 (or 27272 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 289822960 is about 17024.1874989675. The cubic root of 289822960 is about 661.7758723817.

The spelling of 289822960 in words is "two hundred eighty-nine million, eight hundred twenty-two thousand, nine hundred sixty".