11611160 has 48 divisors (see below), whose sum is σ = 28728000. Its totient is φ = 4220480.

The previous prime is 11611151. The next prime is 11611163. The reversal of 11611160 is 6111611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11611163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3641 + ... + 6039.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 2^11611160 is an apocalyptic number.

11611160 is a gapful number since it is divisible by the number (10) 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 11611160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364000).

11611160 is an abundant number, since it is smaller than the sum of its proper divisors (17116840).

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

11611160 is a wasteful number, since it uses less digits than its factorization.

11611160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 11611160 is about 3407.5152237371. The cubic root of 11611160 is about 226.4428105186.

Adding to 11611160 its reverse (6111611), we get a palindrome (17722771).

It can be divided in two parts, 1 and 1611160, that added together give a palindrome (1611161).

The spelling of 11611160 in words is "eleven million, six hundred eleven thousand, one hundred sixty".