PUMaC 2015 Team Problem 8

Let \sigma_{1}: \mathbb{N} \rightarrow \mathbb{N} be a function that takes a natural number n, and returns the sum of the positive integer divisors of n. For example, \sigma_{1}(6)=1+2+3+6=12. What is the largest number n such that \sigma_{1}(n)=1854?