8624 has 30 divisors (see below), whose sum is σ = 21204. Its totient is φ = 3360.

The previous prime is 8623. The next prime is 8627. The reversal of 8624 is 4268.

It is a plaindrome in base 5.

It is a nialpdrome in base 11 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 8596 and 8605.

It is not an unprimeable number, because it can be changed into a prime (8623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 779 + ... + 789.

2⁸⁶²⁴ 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 8624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602).

8624 is an abundant number, since it is smaller than the sum of its proper divisors (12580).

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

8624 is a wasteful number, since it uses less digits than its factorization.

8624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 20 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 8624 is about 92.8654941300. The cubic root of 8624 is about 20.5070370448.

Subtracting from 8624 its reverse (4268), we obtain a square (4356 = 66²).

The spelling of 8624 in words is "eight thousand, six hundred twenty-four".