11611320 has 128 divisors (see below), whose sum is σ = 41610240. Its totient is φ = 2534400.

The previous prime is 11611309. The next prime is 11611321. The reversal of 11611320 is 2311611.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11611320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11611321) 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 31 ways as a sum of consecutive naturals, for example, 19020 + ... + 19620.

It is an arithmetic number, because the mean of its divisors is an integer number (325080).

Almost surely, 2^11611320 is an apocalyptic number.

11611320 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 11611320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805120).

11611320 is an abundant number, since it is smaller than the sum of its proper divisors (29998920).

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

11611320 is a wasteful number, since it uses less digits than its factorization.

11611320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11611320 is about 3407.5387011742. The cubic root of 11611320 is about 226.4438506296.

Adding to 11611320 its reverse (2311611), we get a palindrome (13922931).

The spelling of 11611320 in words is "eleven million, six hundred eleven thousand, three hundred twenty".