289134846 has 160 divisors (see below), whose sum is σ = 870363648. Its totient is φ = 69284160.

The previous prime is 289134841. The next prime is 289134847. The reversal of 289134846 is 648431982.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289134841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161271 + ... + 163053.

Almost surely, 2^289134846 is an apocalyptic number.

289134846 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 289134846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435181824).

289134846 is an abundant number, since it is smaller than the sum of its proper divisors (581228802).

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

289134846 is a wasteful number, since it uses less digits than its factorization.

289134846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1819 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 289134846 is about 17003.9655962955. The cubic root of 289134846 is about 661.2517154816.

The spelling of 289134846 in words is "two hundred eighty-nine million, one hundred thirty-four thousand, eight hundred forty-six".