The influence and benefits of ancient Egypt and it's culture are many and varied, and in all honesty I don't believe that anyone; academic or amateur could answer this question completely and definitively.
Off the top of my head, we can thank the ancient Egyptians for:
i) Mathematics/Geometry (think how the Pyramids were built).
ii) Alcohol (evidence of the first ever beer has recently been discovered along with wine).
iii) Astronomy (again, think about the Pyramids at Giza and how they align with Orion).
iv) Astrology (evidence has been recovered of the zodiac signs tombs).
v) Writing (although they may not have actually invented writing, they certainly aided its development).
vi) Funeral Traditions (think embalming, the whole momentous funeral procession).