289368640 has 56 divisors (see below), whose sum is σ = 751709952. Its totient is φ = 105223680.

The previous prime is 289368631. The next prime is 289368661. The reversal of 289368640 is 46863982.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37584 + ... + 44623.

It is an arithmetic number, because the mean of its divisors is an integer number (13423392).

Almost surely, 2^289368640 is an apocalyptic number.

289368640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289368640 is an abundant number, since it is smaller than the sum of its proper divisors (462341312).

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

289368640 is a wasteful number, since it uses less digits than its factorization.

289368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82235 (or 82225 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 289368640 is about 17010.8388975970. The cubic root of 289368640 is about 661.4298965109.

The spelling of 289368640 in words is "two hundred eighty-nine million, three hundred sixty-eight thousand, six hundred forty".