11804688 has 120 divisors (see below), whose sum is σ = 38688000. Its totient is φ = 3358656.

The previous prime is 11804687. The next prime is 11804699. The reversal of 11804688 is 88640811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11804687) 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, 49273 + ... + 49511.

It is an arithmetic number, because the mean of its divisors is an integer number (322400).

Almost surely, 2^11804688 is an apocalyptic number.

11804688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11804688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344000).

11804688 is an abundant number, since it is smaller than the sum of its proper divisors (26883312).

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

11804688 is a wasteful number, since it uses less digits than its factorization.

11804688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 11804688 is about 3435.7951044846. The cubic root of 11804688 is about 227.6939568815.

The spelling of 11804688 in words is "eleven million, eight hundred four thousand, six hundred eighty-eight".