11849768 has 96 divisors (see below), whose sum is σ = 28591200. Its totient is φ = 4572288.

The previous prime is 11849767. The next prime is 11849771. The reversal of 11849768 is 86794811.

Its product of digits (96768) is a multiple of the sum of its prime divisors (108).

11849768 is a modest number, since divided by 9768 gives 1184 as remainder.

It is not an unprimeable number, because it can be changed into a prime (11849767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275555 + ... + 275597.

It is an arithmetic number, because the mean of its divisors is an integer number (297825).

Almost surely, 2^11849768 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 11849768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295600).

11849768 is an abundant number, since it is smaller than the sum of its proper divisors (16741432).

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

11849768 is a wasteful number, since it uses less digits than its factorization.

11849768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its digits is 96768, while the sum is 44.

The square root of 11849768 is about 3442.3491978589. The cubic root of 11849768 is about 227.9834295950.

The spelling of 11849768 in words is "eleven million, eight hundred forty-nine thousand, seven hundred sixty-eight".