11506164 has 48 divisors (see below), whose sum is σ = 28643328. Its totient is φ = 3586528.

The previous prime is 11506163. The next prime is 11506169. The reversal of 11506164 is 46160511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11506163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12529 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (596736).

Almost surely, 2^11506164 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 11506164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321664).

11506164 is an abundant number, since it is smaller than the sum of its proper divisors (17137164).

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

11506164 is a wasteful number, since it uses less digits than its factorization.

11506164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11506164 is about 3392.0737020295. The cubic root of 11506164 is about 225.7581928303.

Adding to 11506164 its reverse (46160511), we get a palindrome (57666675).

The spelling of 11506164 in words is "eleven million, five hundred six thousand, one hundred sixty-four".