11540568 has 64 divisors (see below), whose sum is σ = 31772160. Its totient is φ = 3470976.

The previous prime is 11540567. The next prime is 11540597. The reversal of 11540568 is 86504511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540561) 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, 14271 + ... + 15057.

It is an arithmetic number, because the mean of its divisors is an integer number (496440).

Almost surely, 2^11540568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11540568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15886080).

11540568 is an abundant number, since it is smaller than the sum of its proper divisors (20231592).

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

11540568 is a wasteful number, since it uses less digits than its factorization.

11540568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 11540568 is about 3397.1411510268. The cubic root of 11540568 is about 225.9829783301.

The spelling of 11540568 in words is "eleven million, five hundred forty thousand, five hundred sixty-eight".