6440960 has 96 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 2359296.

The previous prime is 6440953. The next prime is 6440969. The reversal of 6440960 is 690446.

It can be written as a sum of positive squares in 4 ways, for example, as 6390784 + 50176 = 2528^2 + 224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174062 + ... + 174098.

Almost surely, 2^6440960 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 6440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

6440960 is an abundant number, since it is smaller than the sum of its proper divisors (10364920).

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

6440960 is a wasteful number, since it uses less digits than its factorization.

6440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 6440960 is about 2537.9046475390. The cubic root of 6440960 is about 186.0587936078.

The spelling of 6440960 in words is "six million, four hundred forty thousand, nine hundred sixty".