289886320 has 40 divisors (see below), whose sum is σ = 697232160. Its totient is φ = 111955200.

The previous prime is 289886281. The next prime is 289886321. The reversal of 289886320 is 23688982.

It is a happy number.

289886320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289886321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60156 + ... + 64795.

It is an arithmetic number, because the mean of its divisors is an integer number (17430804).

Almost surely, 2^289886320 is an apocalyptic number.

289886320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289886320 is an abundant number, since it is smaller than the sum of its proper divisors (407345840).

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

289886320 is a wasteful number, since it uses less digits than its factorization.

289886320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124993 (or 124987 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 289886320 is about 17026.0482790341. The cubic root of 289886320 is about 661.8240938478.

The spelling of 289886320 in words is "two hundred eighty-nine million, eight hundred eighty-six thousand, three hundred twenty".