11834688 has 56 divisors (see below), whose sum is σ = 31930848. Its totient is φ = 3867136.

The previous prime is 11834681. The next prime is 11834689. The reversal of 11834688 is 88643811.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11834681) 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, 9595 + ... + 10757.

Almost surely, 2^11834688 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 11834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15965424).

11834688 is an abundant number, since it is smaller than the sum of its proper divisors (20096160).

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

11834688 is a wasteful number, since it uses less digits than its factorization.

11834688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1221 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 11834688 is about 3440.1581359002. The cubic root of 11834688 is about 227.8866780652.

The spelling of 11834688 in words is "eleven million, eight hundred thirty-four thousand, six hundred eighty-eight".