289648968 has 64 divisors (see below), whose sum is σ = 845199360. Its totient is φ = 80993856.

The previous prime is 289648967. The next prime is 289648979. The reversal of 289648968 is 869846982.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (289648967) 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 15 ways as a sum of consecutive naturals, for example, 10446 + ... + 26237.

It is an arithmetic number, because the mean of its divisors is an integer number (13206240).

Almost surely, 2^289648968 is an apocalyptic number.

289648968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

289648968 is an abundant number, since it is smaller than the sum of its proper divisors (555550392).

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

289648968 is a wasteful number, since it uses less digits than its factorization.

289648968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36746 (or 36742 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 60.

The square root of 289648968 is about 17019.0765906967. The cubic root of 289648968 is about 661.6434159365.

The spelling of 289648968 in words is "two hundred eighty-nine million, six hundred forty-eight thousand, nine hundred sixty-eight".