11631360 has 144 divisors (see below), whose sum is σ = 40176864. Its totient is φ = 2850816.

The previous prime is 11631341. The next prime is 11631391. The reversal of 11631360 is 6313611.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49804 + ... + 50036.

It is an arithmetic number, because the mean of its divisors is an integer number (279006).

Almost surely, 2^11631360 is an apocalyptic number.

11631360 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 11631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088432).

11631360 is an abundant number, since it is smaller than the sum of its proper divisors (28545504).

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

11631360 is a wasteful number, since it uses less digits than its factorization.

11631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 11631360 is about 3410.4779723669. The cubic root of 11631360 is about 226.5740490506.

Adding to 11631360 its reverse (6313611), we get a palindrome (17944971).

It can be divided in two parts, 1 and 1631360, that added together give a palindrome (1631361).

The spelling of 11631360 in words is "eleven million, six hundred thirty-one thousand, three hundred sixty".