8648320 has 32 divisors (see below), whose sum is σ = 20676420. Its totient is φ = 3459072.

The previous prime is 8648317. The next prime is 8648323. The reversal of 8648320 is 238468.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8648317) and next prime (8648323).

It can be written as a sum of positive squares in 2 ways, for example, as 8620096 + 28224 = 2936^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (8648323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6117 + ... + 7396.

Almost surely, 2^8648320 is an apocalyptic number.

8648320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8648320 is an abundant number, since it is smaller than the sum of its proper divisors (12028100).

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

8648320 is a wasteful number, since it uses less digits than its factorization.

8648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13532 (or 13520 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 8648320 is about 2940.8026115331. The cubic root of 8648320 is about 205.2629582106.

The spelling of 8648320 in words is "eight million, six hundred forty-eight thousand, three hundred twenty".