289890960 has 80 divisors (see below), whose sum is σ = 929672640. Its totient is φ = 74636800.

The previous prime is 289890959. The next prime is 289891009. The reversal of 289890960 is 69098982.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13866 + ... + 27785.

It is an arithmetic number, because the mean of its divisors is an integer number (11620908).

Almost surely, 2^289890960 is an apocalyptic number.

289890960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289890960 is an abundant number, since it is smaller than the sum of its proper divisors (639781680).

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

289890960 is a wasteful number, since it uses less digits than its factorization.

289890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41696 (or 41690 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 289890960 is about 17026.1845402897. The cubic root of 289890960 is about 661.8276249416.

The spelling of 289890960 in words is "two hundred eighty-nine million, eight hundred ninety thousand, nine hundred sixty".