289904064 has 112 divisors (see below), whose sum is σ = 807598080. Its totient is φ = 91653120.

The previous prime is 289904059. The next prime is 289904093. The reversal of 289904064 is 460409982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314997 + ... + 315915.

Almost surely, 2^289904064 is an apocalyptic number.

289904064 is a gapful number since it is divisible by the number (24) 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 289904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403799040).

289904064 is an abundant number, since it is smaller than the sum of its proper divisors (517694016).

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

289904064 is a wasteful number, since it uses less digits than its factorization.

289904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 289904064 is about 17026.5693549816. The cubic root of 289904064 is about 661.8375970343.

The spelling of 289904064 in words is "two hundred eighty-nine million, nine hundred four thousand, sixty-four".