5168 has 20 divisors (see below), whose sum is σ = 11160. Its totient is φ = 2304.

The previous prime is 5167. The next prime is 5171. The reversal of 5168 is 8615.

5168 = T₁₇ + T₁₈ + ... + T₃₂.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (558).

2⁵¹⁶⁸ 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 5168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580).

5168 is an abundant number, since it is smaller than the sum of its proper divisors (5992).

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

5168 is a wasteful number, since it uses less digits than its factorization.

5168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 38 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 5168 is about 71.8888030224. Note that the first 4 decimals coincide. The cubic root of 5168 is about 17.2891709435.

The spelling of 5168 in words is "five thousand, one hundred sixty-eight".