6544960 has 56 divisors (see below), whose sum is σ = 15809976. Its totient is φ = 2580480.

The previous prime is 6544943. The next prime is 6545003. The reversal of 6544960 is 694456.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 5798464 = 864^2 + 2408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36070 + ... + 36250.

It is an arithmetic number, because the mean of its divisors is an integer number (282321).

Almost surely, 2^6544960 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 6544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904988).

6544960 is an abundant number, since it is smaller than the sum of its proper divisors (9265016).

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

6544960 is a wasteful number, since it uses less digits than its factorization.

6544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 6544960 is about 2558.3119434502. The cubic root of 6544960 is about 187.0548610805.

The spelling of 6544960 in words is "six million, five hundred forty-four thousand, nine hundred sixty".