6448960 has 56 divisors (see below), whose sum is σ = 17556480. Its totient is φ = 2210304.

The previous prime is 6448927. The next prime is 6448973. The reversal of 6448960 is 698446.

It is a tau number, because it is divible by the number of its divisors (56).

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, 801 + ... + 3679.

Almost surely, 2^6448960 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 6448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

6448960 is an abundant number, since it is smaller than the sum of its proper divisors (11107520).

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

6448960 is a wasteful number, since it uses less digits than its factorization.

6448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 6448960 is about 2539.4802617859. The cubic root of 6448960 is about 186.1357932332.

It can be divided in two parts, 644 and 8960, that added together give a square (9604 = 98²).

The spelling of 6448960 in words is "six million, four hundred forty-eight thousand, nine hundred sixty".