11806416 has 60 divisors (see below), whose sum is σ = 33310368. Its totient is φ = 3903552.

The previous prime is 11806411. The next prime is 11806423. The reversal of 11806416 is 61460811.

11806416 is a `hidden beast` number, since 1 + 18 + 0 + 641 + 6 = 666.

11806416 is nontrivially palindromic in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 11806416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11806411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23221 + ... + 23723.

Almost surely, 2^11806416 is an apocalyptic number.

11806416 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 11806416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655184).

11806416 is an abundant number, since it is smaller than the sum of its proper divisors (21503952).

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

11806416 is a wasteful number, since it uses less digits than its factorization.

11806416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11806416 is about 3436.0465654586. The cubic root of 11806416 is about 227.7050664780.

The spelling of 11806416 in words is "eleven million, eight hundred six thousand, four hundred sixteen".