11185164 has 36 divisors (see below), whose sum is σ = 28599480. Its totient is φ = 3685440.

The previous prime is 11185157. The next prime is 11185171. The reversal of 11185164 is 46158111.

It is an interprime number because it is at equal distance from previous prime (11185157) and next prime (11185171).

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1459 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (794430).

Almost surely, 2^11185164 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 11185164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299740).

11185164 is an abundant number, since it is smaller than the sum of its proper divisors (17414316).

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

11185164 is a wasteful number, since it uses less digits than its factorization.

11185164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3585 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 11185164 is about 3344.4228201590. The cubic root of 11185164 is about 223.6389538755.

The spelling of 11185164 in words is "eleven million, one hundred eighty-five thousand, one hundred sixty-four".