11516616 has 72 divisors (see below), whose sum is σ = 33369570. Its totient is φ = 3575808.

The previous prime is 11516581. The next prime is 11516663. The reversal of 11516616 is 61661511.

It can be written as a sum of positive squares in 3 ways, for example, as 10536516 + 980100 = 3246^2 + 990^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11516616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118680 + ... + 118776.

Almost surely, 2^11516616 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 11516616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684785).

11516616 is an abundant number, since it is smaller than the sum of its proper divisors (21852954).

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

11516616 is a wasteful number, since it uses less digits than its factorization.

11516616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 119 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 11516616 is about 3393.6140028000. The cubic root of 11516616 is about 225.8265304191.

The spelling of 11516616 in words is "eleven million, five hundred sixteen thousand, six hundred sixteen".