289978164 has 96 divisors (see below), whose sum is σ = 861996800. Its totient is φ = 82581120.

The previous prime is 289978159. The next prime is 289978187. The reversal of 289978164 is 461879982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 289978164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408642 + ... + 409350.

Almost surely, 2^289978164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289978164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430998400).

289978164 is an abundant number, since it is smaller than the sum of its proper divisors (572018636).

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

289978164 is a wasteful number, since it uses less digits than its factorization.

289978164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1262 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 289978164 is about 17028.7452268216. The cubic root of 289978164 is about 661.8939811905.

The spelling of 289978164 in words is "two hundred eighty-nine million, nine hundred seventy-eight thousand, one hundred sixty-four".