289966880 has 96 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 98841600.

The previous prime is 289966871. The next prime is 289966889. The reversal of 289966880 is 88669982.

It is an interprime number because it is at equal distance from previous prime (289966871) and next prime (289966889).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (289966889) 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, 222230 + ... + 223530.

It is an arithmetic number, because the mean of its divisors is an integer number (8202600).

Almost surely, 2^289966880 is an apocalyptic number.

289966880 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 289966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

289966880 is an abundant number, since it is smaller than the sum of its proper divisors (497482720).

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

289966880 is a wasteful number, since it uses less digits than its factorization.

289966880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 56.

The square root of 289966880 is about 17028.4139014766. The cubic root of 289966880 is about 661.8853955917.

The spelling of 289966880 in words is "two hundred eighty-nine million, nine hundred sixty-six thousand, eight hundred eighty".