11646 has 12 divisors (see below), whose sum is σ = 25272. Its totient is φ = 3876.

The previous prime is 11633. The next prime is 11657. The reversal of 11646 is 64611.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 647 = 11646 / (1 + 1 + 6 + 4 + 6).

It is a Curzon number.

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 11646.

It is an unprimeable number.

11646 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (2106).

2¹¹⁶⁴⁶ is an apocalyptic number.

11646 is an abundant number, since it is smaller than the sum of its proper divisors (13626).

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

11646 is a wasteful number, since it uses less digits than its factorization.

11646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 652 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 11646 is about 107.9166344916. The cubic root of 11646 is about 22.6669069563. Note that the first 3 decimals are identical.

Adding to 11646 its sum of digits (18), we get a square (11664 = 108²).

Subtracting from 11646 its sum of digits (18), we obtain a triangular number (11628 = T₁₅₂).

Multiplying 11646 by its sum of digits (18), we get a triangular number (209628 = T₆₄₇).

The spelling of 11646 in words is "eleven thousand, six hundred forty-six".