6504080 has 80 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 2234880.

The previous prime is 6504077. The next prime is 6504083. The reversal of 6504080 is 804056.

It is an interprime number because it is at equal distance from previous prime (6504077) and next prime (6504083).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (6504083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16526 + ... + 16914.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 2^6504080 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 6504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

6504080 is an abundant number, since it is smaller than the sum of its proper divisors (10905520).

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

6504080 is a wasteful number, since it uses less digits than its factorization.

6504080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 6504080 is about 2550.3097851045. The cubic root of 6504080 is about 186.6645974827.

The spelling of 6504080 in words is "six million, five hundred four thousand, eighty".