289674 has 72 divisors (see below), whose sum is σ = 829920. Its totient is φ = 71280.

The previous prime is 289669. The next prime is 289717. The reversal of 289674 is 476982.

It is a super-2 number, since 2×289674² = 167822052552, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹³ + 8³ + 6⁷ + 9³ + 7² + 4⁴ .

Its product of digits (24192) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

289674 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15237 + ... + 15255.

289674 is a Friedman number, since it can be written as 6897*42, using all its digits and the basic arithmetic operations.

2²⁸⁹⁶⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414960).

289674 is an abundant number, since it is smaller than the sum of its proper divisors (540246).

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

289674 is a wasteful number, since it uses less digits than its factorization.

289674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 42 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 289674 is about 538.2137121999. The cubic root of 289674 is about 66.1662475537.

It can be divided in two parts, 2 and 89674, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 289674 in words is "two hundred eighty-nine thousand, six hundred seventy-four".