11563160 has 64 divisors (see below), whose sum is σ = 30265920. Its totient is φ = 3893760.

The previous prime is 11563157. The next prime is 11563163. The reversal of 11563160 is 6136511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11563157) and next prime (11563163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16742 + ... + 17418.

It is an arithmetic number, because the mean of its divisors is an integer number (472905).

Almost surely, 2^11563160 is an apocalyptic number.

11563160 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 11563160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132960).

11563160 is an abundant number, since it is smaller than the sum of its proper divisors (18702760).

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

11563160 is a wasteful number, since it uses less digits than its factorization.

11563160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 11563160 is about 3400.4646741291. The cubic root of 11563160 is about 226.1303448372.

Adding to 11563160 its reverse (6136511), we get a palindrome (17699671).

The spelling of 11563160 in words is "eleven million, five hundred sixty-three thousand, one hundred sixty".