289164960 has 144 divisors (see below), whose sum is σ = 1127782656. Its totient is φ = 66092544.

The previous prime is 289164943. The next prime is 289164961. The reversal of 289164960 is 69461982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (289164961) 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, 4264 + ... + 24423.

It is an arithmetic number, because the mean of its divisors is an integer number (7831824).

Almost surely, 2^289164960 is an apocalyptic number.

289164960 is a gapful number since it is divisible by the number (20) 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 289164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563891328).

289164960 is an abundant number, since it is smaller than the sum of its proper divisors (838617696).

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

289164960 is a wasteful number, since it uses less digits than its factorization.

289164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28715 (or 28704 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 289164960 is about 17004.8510725616. The cubic root of 289164960 is about 661.2746716019.

The spelling of 289164960 in words is "two hundred eighty-nine million, one hundred sixty-four thousand, nine hundred sixty".