11727688 has 64 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 4644864.

The previous prime is 11727679. The next prime is 11727689. The reversal of 11727688 is 88672711.

11727688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11727688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11727689) 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, 92281 + ... + 92407.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^11727688 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 11727688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

11727688 is an abundant number, since it is smaller than the sum of its proper divisors (15367352).

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

11727688 is a wasteful number, since it uses less digits than its factorization.

11727688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its digits is 37632, while the sum is 40.

The square root of 11727688 is about 3424.5712140354. The cubic root of 11727688 is about 227.1978067136.

The spelling of 11727688 in words is "eleven million, seven hundred twenty-seven thousand, six hundred eighty-eight".