16116 has 24 divisors (see below), whose sum is σ = 40320. Its totient is φ = 4992.

The previous prime is 16111. The next prime is 16127. The reversal of 16116 is 61161.

16116 = T₃₃ + T₃₄ + ... + T₅₀.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16095 and 16104.

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 16116.

It is not an unprimeable number, because it can be changed into a prime (16111) by changing a digit.

16116 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 7 ways as a sum of consecutive naturals, for example, 165 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2¹⁶¹¹⁶ 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 16116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

16116 is an abundant number, since it is smaller than the sum of its proper divisors (24204).

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

16116 is a wasteful number, since it uses less digits than its factorization.

16116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 16116 is about 126.9488085805. The cubic root of 16116 is about 25.2591706061.

Adding to 16116 its reverse (61161), we get a palindrome (77277).

The spelling of 16116 in words is "sixteen thousand, one hundred sixteen".