168116 has 24 divisors (see below), whose sum is σ = 328104. Its totient is φ = 74880.

The previous prime is 168109. The next prime is 168127. The reversal of 168116 is 611861.

168116 = T₅₃ + T₅₄ + ... + T₁₀₄.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 168100 = 4^2 + 410^2 .

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 168091 and 168100.

It is a congruent number.

It is an unprimeable number.

168116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2726 + ... + 2786.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2¹⁶⁸¹¹⁶ is an apocalyptic number.

It is an amenable number.

168116 is a deficient number, since it is larger than the sum of its proper divisors (159988).

168116 is a wasteful number, since it uses less digits than its factorization.

168116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 168116 is about 410.0195117308. The cubic root of 168116 is about 55.1911804155.

Adding to 168116 its reverse (611861), we get a palindrome (779977).

It can be divided in two parts, 1681 and 16, that multiplied together give a square (26896 = 164²).

The spelling of 168116 in words is "one hundred sixty-eight thousand, one hundred sixteen".