8643648 has 56 divisors (see below), whose sum is σ = 24635968. Its totient is φ = 2658816.

The previous prime is 8643647. The next prime is 8643671. The reversal of 8643648 is 8463468.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8643647) 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, 765 + ... + 4227.

It is an arithmetic number, because the mean of its divisors is an integer number (439928).

Almost surely, 2^8643648 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 8643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12317984).

8643648 is an abundant number, since it is smaller than the sum of its proper divisors (15992320).

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

8643648 is a wasteful number, since it uses less digits than its factorization.

8643648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3481 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 8643648 is about 2940.0081632540. The cubic root of 8643648 is about 205.2259891314.

It can be divided in two parts, 86 and 43648, that added together give a palindrome (43734).

The spelling of 8643648 in words is "eight million, six hundred forty-three thousand, six hundred forty-eight".