289808064 has 448 divisors, whose sum is σ = 1115161600. Its totient is φ = 71663616.

The previous prime is 289808047. The next prime is 289808093. The reversal of 289808064 is 460808982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 2987664 + ... + 2987760.

It is an arithmetic number, because the mean of its divisors is an integer number (2489200).

Almost surely, 2^289808064 is an apocalyptic number.

289808064 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 289808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557580800).

289808064 is an abundant number, since it is smaller than the sum of its proper divisors (825353536).

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

289808064 is a wasteful number, since it uses less digits than its factorization.

289808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 289808064 is about 17023.7499981643. The cubic root of 289808064 is about 661.7645344460.

The spelling of 289808064 in words is "two hundred eighty-nine million, eight hundred eight thousand, sixty-four".