11611360 has 48 divisors (see below), whose sum is σ = 28328832. Its totient is φ = 4492800.

The previous prime is 11611351. The next prime is 11611363. The reversal of 11611360 is 6311611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11611363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3790 + ... + 6130.

It is an arithmetic number, because the mean of its divisors is an integer number (590184).

Almost surely, 2^11611360 is an apocalyptic number.

11611360 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 11611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164416).

11611360 is an abundant number, since it is smaller than the sum of its proper divisors (16717472).

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

11611360 is a wasteful number, since it uses less digits than its factorization.

11611360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 11611360 is about 3407.5445705082. The cubic root of 11611360 is about 226.4441106558. Note that the first 3 decimals are identical.

Adding to 11611360 its reverse (6311611), we get a palindrome (17922971).

It can be divided in two parts, 116 and 11360, that added together give a triangular number (11476 = T₁₅₁).

The spelling of 11611360 in words is "eleven million, six hundred eleven thousand, three hundred sixty".