11688768 has 168 divisors, whose sum is σ = 41420288. Its totient is φ = 3068928.

The previous prime is 11688751. The next prime is 11688793. The reversal of 11688768 is 86788611.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52305 + ... + 52527.

Almost surely, 2^11688768 is an apocalyptic number.

11688768 is a gapful number since it is divisible by the number (18) 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 11688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710144).

11688768 is an abundant number, since it is smaller than the sum of its proper divisors (29731520).

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

11688768 is a wasteful number, since it uses less digits than its factorization.

11688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 11688768 is about 3418.8840284514. The cubic root of 11688768 is about 226.9461987680.

The spelling of 11688768 in words is "eleven million, six hundred eighty-eight thousand, seven hundred sixty-eight".