516168 has 48 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 167904.

The previous prime is 516163. The next prime is 516169. The reversal of 516168 is 861615.

It is not an unprimeable number, because it can be changed into a prime (516161) by changing a digit.

516168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4771 + ... + 4877.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2⁵¹⁶¹⁶⁸ 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 516168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040).

516168 is an abundant number, since it is smaller than the sum of its proper divisors (915912).

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

516168 is a wasteful number, since it uses less digits than its factorization.

516168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 516168 is about 718.4483279958. The cubic root of 516168 is about 80.2164969184.

The spelling of 516168 in words is "five hundred sixteen thousand, one hundred sixty-eight".