6579920 has 40 divisors (see below), whose sum is σ = 15407496. Its totient is φ = 2613248.

The previous prime is 6579919. The next prime is 6579929. The reversal of 6579920 is 299756.

6579920 = 38² + 39² + ... + 270².

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 6492304 = 296^2 + 2548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6579929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18464 + ... + 18816.

Almost surely, 2^6579920 is an apocalyptic number.

It is an amenable number.

6579920 is an abundant number, since it is smaller than the sum of its proper divisors (8827576).

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

6579920 is a wasteful number, since it uses less digits than its factorization.

6579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 6579920 is about 2565.1354740052. The cubic root of 6579920 is about 187.3873219293.

The spelling of 6579920 in words is "six million, five hundred seventy-nine thousand, nine hundred twenty".