11996768 has 48 divisors (see below), whose sum is σ = 27568800. Its totient is φ = 5136768.

The previous prime is 11996767. The next prime is 11996773. The reversal of 11996768 is 86769911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11996767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10430 + ... + 11522.

It is an arithmetic number, because the mean of its divisors is an integer number (574350).

Almost surely, 2^11996768 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 11996768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784400).

11996768 is an abundant number, since it is smaller than the sum of its proper divisors (15572032).

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

11996768 is an equidigital number, since it uses as much as digits as its factorization.

11996768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1102 counting only the distinct ones).

The product of its digits is 163296, while the sum is 47.

The square root of 11996768 is about 3463.6350847051. The cubic root of 11996768 is about 228.9222926849.

The spelling of 11996768 in words is "eleven million, nine hundred ninety-six thousand, seven hundred sixty-eight".