6576966 has 48 divisors (see below), whose sum is σ = 15837120. Its totient is φ = 1955760.

The previous prime is 6576931. The next prime is 6576967. The reversal of 6576966 is 6696756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6576967) 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 23 ways as a sum of consecutive naturals, for example, 11401 + ... + 11963.

It is an arithmetic number, because the mean of its divisors is an integer number (329940).

Almost surely, 2^6576966 is an apocalyptic number.

6576966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6576966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918560).

6576966 is an abundant number, since it is smaller than the sum of its proper divisors (9260154).

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

6576966 is a wasteful number, since it uses less digits than its factorization.

6576966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 638 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 6576966 is about 2564.5596113173. The cubic root of 6576966 is about 187.3592757421.

The spelling of 6576966 in words is "six million, five hundred seventy-six thousand, nine hundred sixty-six".