506191616 has 72 divisors (see below), whose sum is σ = 1215607680. Its totient is φ = 205507584.

The previous prime is 506191577. The next prime is 506191639. The reversal of 506191616 is 616191605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26615 + ... + 41481.

It is an arithmetic number, because the mean of its divisors is an integer number (16883440).

Almost surely, 2^506191616 is an apocalyptic number.

506191616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607803840).

506191616 is an abundant number, since it is smaller than the sum of its proper divisors (709416064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506191616 is a wasteful number, since it uses less digits than its factorization.

506191616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14909 (or 14895 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 506191616 is about 22498.7025403689. The cubic root of 506191616 is about 796.9632875570.

The spelling of 506191616 in words is "five hundred six million, one hundred ninety-one thousand, six hundred sixteen".