6579408 has 80 divisors (see below), whose sum is σ = 19659456. Its totient is φ = 1873920.

The previous prime is 6579407. The next prime is 6579421. The reversal of 6579408 is 8049756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6579401) 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, 8610 + ... + 9342.

Almost surely, 2^6579408 is an apocalyptic number.

6579408 is a gapful number since it is divisible by the number (68) 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 6579408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9829728).

6579408 is an abundant number, since it is smaller than the sum of its proper divisors (13080048).

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

6579408 is a wasteful number, since it uses less digits than its factorization.

6579408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

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

The square root of 6579408 is about 2565.0356722666. The cubic root of 6579408 is about 187.3824614448.

The spelling of 6579408 in words is "six million, five hundred seventy-nine thousand, four hundred eight".