8648 has 16 divisors (see below), whose sum is σ = 17280. Its totient is φ = 4048.

The previous prime is 8647. The next prime is 8663. The reversal of 8648 is 8468.

It is a Cunningham number, because it is equal to 93²-1.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (8641) 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 3 ways as a sum of consecutive naturals, for example, 161 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2⁸⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

8648 is a deficient number, since it is larger than the sum of its proper divisors (8632).

8648 is a wasteful number, since it uses less digits than its factorization.

8648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 8648 is about 92.9946235005. The cubic root of 8648 is about 20.5260426507.

It can be divided in two parts, 8 and 648, that multiplied together give a square (5184 = 72²).

The spelling of 8648 in words is "eight thousand, six hundred forty-eight".