19116 has 30 divisors (see below), whose sum is σ = 50820. Its totient is φ = 6264.

The previous prime is 19087. The next prime is 19121. The reversal of 19116 is 61191.

19116 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 16.

It is an unprimeable 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 9 ways as a sum of consecutive naturals, for example, 295 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (1694).

2¹⁹¹¹⁶ 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 19116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25410).

19116 is an abundant number, since it is smaller than the sum of its proper divisors (31704).

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

19116 is a wasteful number, since it uses less digits than its factorization.

19116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

The square root of 19116 is about 138.2606234616. The cubic root of 19116 is about 26.7382106608.

The spelling of 19116 in words is "nineteen thousand, one hundred sixteen".