11568960 has 224 divisors, whose sum is σ = 44378880. Its totient is φ = 2820096.

The previous prime is 11568937. The next prime is 11568961. The reversal of 11568960 is 6986511.

11568960 is a `hidden beast` number, since 1 + 1 + 568 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11568961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112269 + ... + 112371.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 2^11568960 is an apocalyptic number.

11568960 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 11568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

11568960 is an abundant number, since it is smaller than the sum of its proper divisors (32809920).

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

11568960 is a wasteful number, since it uses less digits than its factorization.

11568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11568960 is about 3401.3173918351. The cubic root of 11568960 is about 226.1681469828.

The spelling of 11568960 in words is "eleven million, five hundred sixty-eight thousand, nine hundred sixty".