289905066 has 48 divisors (see below), whose sum is σ = 687903840. Its totient is φ = 87507360.

The previous prime is 289905061. The next prime is 289905067. The reversal of 289905066 is 660509982.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (289905061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50541 + ... + 55983.

It is an arithmetic number, because the mean of its divisors is an integer number (14331330).

Almost surely, 2^289905066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289905066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343951920).

289905066 is an abundant number, since it is smaller than the sum of its proper divisors (397998774).

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

289905066 is a wasteful number, since it uses less digits than its factorization.

289905066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 289905066 is about 17026.5987795566. The cubic root of 289905066 is about 661.8383595400.

The spelling of 289905066 in words is "two hundred eighty-nine million, nine hundred five thousand, sixty-six".