11806164 has 72 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3729600.

The previous prime is 11806147. The next prime is 11806189. The reversal of 11806164 is 46160811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79162 + ... + 79310.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 2^11806164 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 11806164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

11806164 is an abundant number, since it is smaller than the sum of its proper divisors (19643436).

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

11806164 is a wasteful number, since it uses less digits than its factorization.

11806164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

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

The square root of 11806164 is about 3436.0098952128. The cubic root of 11806164 is about 227.7034463960.

Adding to 11806164 its reverse (46160811), we get a palindrome (57966975).

The spelling of 11806164 in words is "eleven million, eight hundred six thousand, one hundred sixty-four".