11853768 has 32 divisors (see below), whose sum is σ = 30196800. Its totient is φ = 3876288.

The previous prime is 11853761. The next prime is 11853773. The reversal of 11853768 is 86735811.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11853761) 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, 3388 + ... + 5931.

It is an arithmetic number, because the mean of its divisors is an integer number (943650).

Almost surely, 2^11853768 is an apocalyptic number.

It is an amenable number.

11853768 is an abundant number, since it is smaller than the sum of its proper divisors (18343032).

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

11853768 is a wasteful number, since it uses less digits than its factorization.

11853768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9377 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 11853768 is about 3442.9301474180. The cubic root of 11853768 is about 228.0090793553.

It can be divided in two parts, 11853 and 768, that added together give a palindrome (12621).

The spelling of 11853768 in words is "eleven million, eight hundred fifty-three thousand, seven hundred sixty-eight".