6579840 has 128 divisors (see below), whose sum is σ = 22032000. Its totient is φ = 1667072.

The previous prime is 6579829. The next prime is 6579851. The reversal of 6579840 is 489756.

It is an interprime number because it is at equal distance from previous prime (6579829) and next prime (6579851).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44086 + ... + 44234.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 2^6579840 is an apocalyptic number.

6579840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016000).

6579840 is an abundant number, since it is smaller than the sum of its proper divisors (15452160).

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

6579840 is a wasteful number, since it uses less digits than its factorization.

6579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 6579840 is about 2565.1198802395. The cubic root of 6579840 is about 187.3865624953.

The spelling of 6579840 in words is "six million, five hundred seventy-nine thousand, eight hundred forty".