289968 has 40 divisors (see below), whose sum is σ = 857088. Its totient is φ = 82752.

The previous prime is 289967. The next prime is 289973. The reversal of 289968 is 869982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (289967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 767.

2²⁸⁹⁹⁶⁸ is an apocalyptic number.

289968 is a gapful number since it is divisible by the number (28) 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 289968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544).

289968 is an abundant number, since it is smaller than the sum of its proper divisors (567120).

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

289968 is a wasteful number, since it uses less digits than its factorization.

289968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 875 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 289968 is about 538.4867686397. The cubic root of 289968 is about 66.1886247770.

The spelling of 289968 in words is "two hundred eighty-nine thousand, nine hundred sixty-eight".