6580480 has 72 divisors (see below), whose sum is σ = 16225272. Its totient is φ = 2555904.

The previous prime is 6580471. The next prime is 6580481. The reversal of 6580480 is 840856.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 5531904 = 1024^2 + 2352^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6580481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67792 + ... + 67888.

It is an arithmetic number, because the mean of its divisors is an integer number (225351).

Almost surely, 2^6580480 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 6580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112636).

6580480 is an abundant number, since it is smaller than the sum of its proper divisors (9644792).

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

6580480 is an equidigital number, since it uses as much as digits as its factorization.

6580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 6580480 is about 2565.2446277110. The cubic root of 6580480 is about 187.3926377956.

The spelling of 6580480 in words is "six million, five hundred eighty thousand, four hundred eighty".