11616 has 36 divisors (see below), whose sum is σ = 33516. Its totient is φ = 3520.

The previous prime is 11597. The next prime is 11617. The reversal of 11616 is 61611.

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

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 11595 and 11604.

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 11616.

It is not an unprimeable number, because it can be changed into a prime (11617) by changing a digit.

11616 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 5 ways as a sum of consecutive naturals, for example, 1051 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (931).

2¹¹⁶¹⁶ is an apocalyptic number.

11616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758).

11616 is an abundant number, since it is smaller than the sum of its proper divisors (21900).

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

11616 is a wasteful number, since it uses less digits than its factorization.

11616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 16 counting only the distinct ones).

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

The square root of 11616 is about 107.7775486825. Note that the first 3 decimals coincide. The cubic root of 11616 is about 22.6474269648.

It can be divided in two parts, 11 and 616, that multiplied together give a palindrome (6776).

The spelling of 11616 in words is "eleven thousand, six hundred sixteen".