11790768 has 80 divisors (see below), whose sum is σ = 33676416. Its totient is φ = 3525120.

The previous prime is 11790767. The next prime is 11790769. The reversal of 11790768 is 86709711.

It is an interprime number because it is at equal distance from previous prime (11790767) and next prime (11790769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11790763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72255 + ... + 72417.

Almost surely, 2^11790768 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 11790768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16838208).

11790768 is an abundant number, since it is smaller than the sum of its proper divisors (21885648).

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

11790768 is a wasteful number, since it uses less digits than its factorization.

11790768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 11790768 is about 3433.7687749760. The cubic root of 11790768 is about 227.6044233416.

The spelling of 11790768 in words is "eleven million, seven hundred ninety thousand, seven hundred sixty-eight".