11881164 has 48 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 3691776.

The previous prime is 11881157. The next prime is 11881193. The reversal of 11881164 is 46118811.

11881164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28147 + ... + 28565.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 2^11881164 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 11881164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

11881164 is an abundant number, since it is smaller than the sum of its proper divisors (17754036).

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

11881164 is a wasteful number, since it uses less digits than its factorization.

11881164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its digits is 1536, while the sum is 30.

The square root of 11881164 is about 3446.9064391132. The cubic root of 11881164 is about 228.1845996526.

Adding to 11881164 its reverse (46118811), we get a palindrome (57999975).

The spelling of 11881164 in words is "eleven million, eight hundred eighty-one thousand, one hundred sixty-four".