8632 has 16 divisors (see below), whose sum is σ = 17640. Its totient is φ = 3936.

The previous prime is 8629. The next prime is 8641. The reversal of 8632 is 2368.

8632 is nontrivially palindromic in base 12.

It is a super-2 number, since 2×8632² = 149022848, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63 + ... + 145.

2⁸⁶³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820).

8632 is an abundant number, since it is smaller than the sum of its proper divisors (9008).

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

8632 is a wasteful number, since it uses less digits than its factorization.

8632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 8632 is about 92.9085571947. The cubic root of 8632 is about 20.5133761602.

The spelling of 8632 in words is "eight thousand, six hundred thirty-two".