11604 has 12 divisors (see below), whose sum is σ = 27104. Its totient is φ = 3864.

The previous prime is 11597. The next prime is 11617. The reversal of 11604 is 40611.

11604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 967 = 11604 / (1 + 1 + 6 + 0 + 4).

It is a plaindrome in base 7 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11604.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 472 + ... + 495.

2¹¹⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

11604 is an abundant number, since it is smaller than the sum of its proper divisors (15500).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552).

11604 is a wasteful number, since it uses less digits than its factorization.

11604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11604 is about 107.7218640760. The cubic root of 11604 is about 22.6396255770.

Adding to 11604 its product of nonzero digits (24), we get a triangular number (11628 = T₁₅₂).

The spelling of 11604 in words is "eleven thousand, six hundred four".