8448960 has 112 divisors (see below), whose sum is σ = 28931616. Its totient is φ = 2076672.

The previous prime is 8448959. The next prime is 8449013. The reversal of 8448960 is 698448.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12142 + ... + 12818.

It is an arithmetic number, because the mean of its divisors is an integer number (258318).

Almost surely, 2^8448960 is an apocalyptic number.

8448960 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 8448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14465808).

8448960 is an abundant number, since it is smaller than the sum of its proper divisors (20482656).

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

8448960 is a wasteful number, since it uses less digits than its factorization.

8448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8448960 is about 2906.7094798070. The cubic root of 8448960 is about 203.6734491053.

The spelling of 8448960 in words is "eight million, four hundred forty-eight thousand, nine hundred sixty".