6581328 has 80 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1976832.

The previous prime is 6581327. The next prime is 6581339. The reversal of 6581328 is 8231856.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6581321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32973 + ... + 33171.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^6581328 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 6581328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

6581328 is an abundant number, since it is smaller than the sum of its proper divisors (12167472).

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

6581328 is a wasteful number, since it uses less digits than its factorization.

6581328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 6581328 is about 2565.4099087670. The cubic root of 6581328 is about 187.4006869618.

The spelling of 6581328 in words is "six million, five hundred eighty-one thousand, three hundred twenty-eight".