11138616 has 48 divisors (see below), whose sum is σ = 30630600. Its totient is φ = 3655872.

The previous prime is 11138599. The next prime is 11138623. The reversal of 11138616 is 61683111.

11138616 is a `hidden beast` number, since 1 + 11 + 38 + 616 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11138616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3670 + ... + 5978.

Almost surely, 2^11138616 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 11138616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315300).

11138616 is an abundant number, since it is smaller than the sum of its proper divisors (19491984).

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

11138616 is a wasteful number, since it uses less digits than its factorization.

11138616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2381 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11138616 is about 3337.4565165707. The cubic root of 11138616 is about 223.3282917602.

The spelling of 11138616 in words is "eleven million, one hundred thirty-eight thousand, six hundred sixteen".