11712768 has 72 divisors (see below), whose sum is σ = 31690176. Its totient is φ = 3840000.

The previous prime is 11712763. The next prime is 11712787. The reversal of 11712768 is 86721711.

It is not an unprimeable number, because it can be changed into a prime (11712763) 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, 77493 + ... + 77643.

Almost surely, 2^11712768 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 11712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845088).

11712768 is an abundant number, since it is smaller than the sum of its proper divisors (19977408).

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

11712768 is a wasteful number, since it uses less digits than its factorization.

11712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 11712768 is about 3422.3921458535. The cubic root of 11712768 is about 227.1014185823.

It can be divided in two parts, 117 and 12768, that multiplied together give a triangular number (1493856 = T₁₇₂₈).

The spelling of 11712768 in words is "eleven million, seven hundred twelve thousand, seven hundred sixty-eight".