8488960 has 48 divisors (see below), whose sum is σ = 20393100. Its totient is φ = 3391488.

The previous prime is 8488939. The next prime is 8488969. The reversal of 8488960 is 698848.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 9216 = 2912^2 + 96^2 .

It is not an unprimeable number, because it can be changed into a prime (8488969) 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, 9826 + ... + 10654.

Almost surely, 2^8488960 is an apocalyptic number.

8488960 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 8488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10196550).

8488960 is an abundant number, since it is smaller than the sum of its proper divisors (11904140).

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

8488960 is an equidigital number, since it uses as much as digits as its factorization.

8488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 8488960 is about 2913.5819878630. The cubic root of 8488960 is about 203.9943609873.

The spelling of 8488960 in words is "eight million, four hundred eighty-eight thousand, nine hundred sixty".