8634 has 8 divisors (see below), whose sum is σ = 17280. Its totient is φ = 2876.

The previous prime is 8629. The next prime is 8641. The reversal of 8634 is 4368.

8634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

8634 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 8634.

It is an unprimeable number.

8634 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 714 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2⁸⁶³⁴ is an apocalyptic number.

8634 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (8640).

8634 is a wasteful number, since it uses less digits than its factorization.

8634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444.

The product of its digits is 576, while the sum is 21.

The square root of 8634 is about 92.9193198425. The cubic root of 8634 is about 20.5149603270.

It can be divided in two parts, 86 and 34, that added together give a triangular number (120 = T₁₅).

The spelling of 8634 in words is "eight thousand, six hundred thirty-four".