6438080 has 112 divisors (see below), whose sum is σ = 17556480. Its totient is φ = 2227200.

The previous prime is 6438079. The next prime is 6438101. The reversal of 6438080 is 808346.

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, 109091 + ... + 109149.

Almost surely, 2^6438080 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 6438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

6438080 is an abundant number, since it is smaller than the sum of its proper divisors (11118400).

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

6438080 is a wasteful number, since it uses less digits than its factorization.

6438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 6438080 is about 2537.3371868950. The cubic root of 6438080 is about 186.0310581350.

The spelling of 6438080 in words is "six million, four hundred thirty-eight thousand, eighty".