6580989 has 12 divisors (see below), whose sum is σ = 10065276. Its totient is φ = 4129152.

The previous prime is 6580961. The next prime is 6580991. The reversal of 6580989 is 9890856.

It can be written as a sum of positive squares in 2 ways, for example, as 5212089 + 1368900 = 2283^2 + 1170^2 .

It is not a de Polignac number, because 6580989 - 2⁸ = 6580733 is a prime.

6580989 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6581989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21354 + ... + 21659.

It is an arithmetic number, because the mean of its divisors is an integer number (838773).

Almost surely, 2^6580989 is an apocalyptic number.

It is an amenable number.

6580989 is a deficient number, since it is larger than the sum of its proper divisors (3484287).

6580989 is a wasteful number, since it uses less digits than its factorization.

6580989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43036 (or 43033 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 6580989 is about 2565.3438366036. The cubic root of 6580989 is about 187.3974692766.

It can be divided in two parts, 6580 and 989, that added together give a square (7569 = 87²).

The spelling of 6580989 in words is "six million, five hundred eighty thousand, nine hundred eighty-nine".