Will my Corsair CX600W be able to handle a GTX1070 and a i7 6700k?

[Guzzy98]

the tiltle says it all

 

[Aeacus]

Does PSU have enough wattage? Yes.

Does the PSU have good enough build quality? No.

Corsair CX series PSUs are low quality (Tier four) PSUs.

Tier Four
Built down to a low price. Not exactly the most stable units ever created. Very basic safety circuitry or even thin gauge wiring used. Not for gaming rigs or overclocking systems of any kind. Avoid unless your budget dictates your choice.

PSU Tier list: http://www.tomshardware.co.uk/forum/id-2547993/psu-tier-list.html

In your high-end system, i'd use great quality (Tier one) PSU, e.g Seasonic PRIME 650. If money is a big factor then the lowest i'd go would be good quality (Tier two) PSU, e.g Seasonic G-650 or Seasonic M12II-620 EVO.

pcpp: http://pcpartpicker.com/products/compare/Tc3RsY,R7V48d,nn648d/
Note: PRIME 650 is the best 650W PSU money can buy at current date. Further reading: http://www.tomshardware.com/reviews/best-psus,4229.html

All my 3 PCs: Skylake, Haswell and AMD are powered by Seasonic. (Got PRIME series in Skylake, M12II EVO series in Haswell and S12II series in AMD, full specs in my sig.)