6586240 has 64 divisors (see below), whose sum is σ = 16193520. Its totient is φ = 2560000.

The previous prime is 6586213. The next prime is 6586241. The reversal of 6586240 is 426856.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6586241) 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 7 ways as a sum of consecutive naturals, for example, 26115 + ... + 26365.

Almost surely, 2^6586240 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 6586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096760).

6586240 is an abundant number, since it is smaller than the sum of its proper divisors (9607280).

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

6586240 is a wasteful number, since it uses less digits than its factorization.

6586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 6586240 is about 2566.3670820832. The cubic root of 6586240 is about 187.4472977805.

The spelling of 6586240 in words is "six million, five hundred eighty-six thousand, two hundred forty".