11689104 has 80 divisors (see below), whose sum is σ = 36346880. Its totient is φ = 3162240.

The previous prime is 11689103. The next prime is 11689109. The reversal of 11689104 is 40198611.

It is not an unprimeable number, because it can be changed into a prime (11689103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5469 + ... + 7299.

It is an arithmetic number, because the mean of its divisors is an integer number (454336).

Almost surely, 2^11689104 is an apocalyptic number.

11689104 is a gapful number since it is divisible by the number (14) 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 11689104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18173440).

11689104 is an abundant number, since it is smaller than the sum of its proper divisors (24657776).

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

11689104 is a wasteful number, since it uses less digits than its factorization.

11689104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11689104 is about 3418.9331669397. The cubic root of 11689104 is about 226.9483733112.

The spelling of 11689104 in words is "eleven million, six hundred eighty-nine thousand, one hundred four".