1111164 has 48 divisors (see below), whose sum is σ = 2795520. Its totient is φ = 342720.

The previous prime is 1111157. The next prime is 1111169. The reversal of 1111164 is 4611111.

1111164 = T₆₇ + T₆₈ + ... + T₁₉₀.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10737 + ... + 10839.

It is an arithmetic number, because the mean of its divisors is an integer number (58240).

2^1111164 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 1111164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397760).

1111164 is an abundant number, since it is smaller than the sum of its proper divisors (1684356).

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

1111164 is a wasteful number, since it uses less digits than its factorization.

1111164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 1111164 is about 1054.1176404937. The cubic root of 1111164 is about 103.5760602198.

Adding to 1111164 its reverse (4611111), we get a palindrome (5722275).

It can be divided in two parts, 11111 and 64, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 1111164 in words is "one million, one hundred eleven thousand, one hundred sixty-four".