8648960 has 72 divisors (see below), whose sum is σ = 21523320. Its totient is φ = 3325952.

The previous prime is 8648953. The next prime is 8649001. The reversal of 8648960 is 698468.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 8386816 = 512^2 + 2896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37004 + ... + 37236.

It is an arithmetic number, because the mean of its divisors is an integer number (298935).

Almost surely, 2^8648960 is an apocalyptic number.

8648960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10761660).

8648960 is an abundant number, since it is smaller than the sum of its proper divisors (12874360).

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

8648960 is a wasteful number, since it uses less digits than its factorization.

8648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 8648960 is about 2940.9114233516. The cubic root of 8648960 is about 205.2680214311.

The spelling of 8648960 in words is "eight million, six hundred forty-eight thousand, nine hundred sixty".