11563560 has 160 divisors (see below), whose sum is σ = 40249440. Its totient is φ = 2975616.

The previous prime is 11563523. The next prime is 11563561. The reversal of 11563560 is 6536511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11563561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139279 + ... + 139361.

It is an arithmetic number, because the mean of its divisors is an integer number (251559).

Almost surely, 2^11563560 is an apocalyptic number.

11563560 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 11563560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124720).

11563560 is an abundant number, since it is smaller than the sum of its proper divisors (28685880).

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

11563560 is a wasteful number, since it uses less digits than its factorization.

11563560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 11563560 is about 3400.5234891116. The cubic root of 11563560 is about 226.1329522875.

The spelling of 11563560 in words is "eleven million, five hundred sixty-three thousand, five hundred sixty".