11185668 has 96 divisors (see below), whose sum is σ = 32363520. Its totient is φ = 3317760.

The previous prime is 11185663. The next prime is 11185679. The reversal of 11185668 is 86658111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11185663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43396 + ... + 43652.

It is an arithmetic number, because the mean of its divisors is an integer number (337120).

Almost surely, 2^11185668 is an apocalyptic number.

11185668 is a gapful number since it is divisible by the number (18) 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 11185668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181760).

11185668 is an abundant number, since it is smaller than the sum of its proper divisors (21177852).

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

11185668 is a wasteful number, since it uses less digits than its factorization.

11185668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 11185668 is about 3344.4981686346. The cubic root of 11185668 is about 223.6423128589.

It can be divided in two parts, 1118 and 5668, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 11185668 in words is "eleven million, one hundred eighty-five thousand, six hundred sixty-eight".