11565760 has 56 divisors (see below), whose sum is σ = 28163520. Its totient is φ = 4521984.

The previous prime is 11565739. The next prime is 11565769. The reversal of 11565760 is 6756511.

It is not an unprimeable number, because it can be changed into a prime (11565769) 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, 14656 + ... + 15424.

It is an arithmetic number, because the mean of its divisors is an integer number (502920).

Almost surely, 2^11565760 is an apocalyptic number.

11565760 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 11565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081760).

11565760 is an abundant number, since it is smaller than the sum of its proper divisors (16597760).

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

11565760 is an equidigital number, since it uses as much as digits as its factorization.

11565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 11565760 is about 3400.8469533338. The cubic root of 11565760 is about 226.1472921894.

Subtracting from 11565760 its reverse (6756511), we obtain a square (4809249 = 2193²).

The spelling of 11565760 in words is "eleven million, five hundred sixty-five thousand, seven hundred sixty".