509168 has 30 divisors (see below), whose sum is σ = 1088472. Its totient is φ = 230560.

The previous prime is 509149. The next prime is 509203. The reversal of 509168 is 861905.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 509168.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509168.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1805 + ... + 2067.

2⁵⁰⁹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544236).

509168 is an abundant number, since it is smaller than the sum of its proper divisors (579304).

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

509168 is a wasteful number, since it uses less digits than its factorization.

509168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 509168 is about 713.5600885700. The cubic root of 509168 is about 79.8522272081.

The spelling of 509168 in words is "five hundred nine thousand, one hundred sixty-eight".