The variety of opinions here is interesting. I will add one more. Math always came very easy to me with very little effort, and I started as an engineer (my dad was an engineer), until I took physics. Really had to work hard in that class just to get a "B," and I decided engineering was not for me. I switched to pre-med, which was a load in and of itself, but the classes were more interesting and probably easier as a result. Most of my engineering friends worked very hard, but they made time for running, extracurriculars. But the latter two probably suffered a bit. Whether you have a bent toward engineering or not, you need to make sure you're committed to it. It's tough. Chemical engineering is probably the toughest.
If you like math, just study math, with an orientation toward applied math. I ended up in economics/finance, which requires plenty of stats, especially if you head toward risk management. Genetics/genomics is another possibility.