To calculate the approximate number of days the space vehicle will travel to reach the galaxy, we can divide the distance to be travelled by the speed of the vehicle:
Time = Distance / Speed
Time = (1.92 x 10^90 miles) / (6.0 x 10^5 miles/day)
Time = 3.2 x 10^84 days
Therefore, the approximate number of days the vehicle will travel to reach the galaxy is 3.2 x 10^84 days.