8646 has 16 divisors (see below), whose sum is σ = 19008. Its totient is φ = 2600.

The previous prime is 8641. The next prime is 8647. The reversal of 8646 is 6468.

8646 is a nontrivial binomial coefficient, being equal to C(132, 2).

It is a Curzon number.

It is a nialpdrome in base 11.

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 8646.

It is not an unprimeable number, because it can be changed into a prime (8641) 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, 1 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (1188).

2⁸⁶⁴⁶ is an apocalyptic number.

8646 is the 131-st triangular number and also the 66-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504).

8646 is an abundant number, since it is smaller than the sum of its proper divisors (10362).

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

8646 is a wasteful number, since it uses less digits than its factorization.

8646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its digits is 1152, while the sum is 24.

The square root of 8646 is about 92.9838695689. The cubic root of 8646 is about 20.5244601942.

It can be divided in two parts, 864 and 6, that multiplied together give a square (5184 = 72²).

The spelling of 8646 in words is "eight thousand, six hundred forty-six".