289040 has 20 divisors (see below), whose sum is σ = 672204. Its totient is φ = 115584.

The previous prime is 289039. The next prime is 289049. The reversal of 289040 is 40982.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 258064 = 176^2 + 508^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 288997 and 289015.

It is not an unprimeable number, because it can be changed into a prime (289049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1727 + ... + 1886.

2²⁸⁹⁰⁴⁰ is an apocalyptic number.

289040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289040 is an abundant number, since it is smaller than the sum of its proper divisors (383164).

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

289040 is a wasteful number, since it uses less digits than its factorization.

289040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 289040 is about 537.6244042080. The cubic root of 289040 is about 66.1179403271.

It can be divided in two parts, 2890 and 40, that multiplied together give a square (115600 = 340²).

The spelling of 289040 in words is "two hundred eighty-nine thousand, forty".