6438160 has 40 divisors (see below), whose sum is σ = 15624000. Its totient is φ = 2462592.

The previous prime is 6438151. The next prime is 6438161. The reversal of 6438160 is 618346.

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

It is not an unprimeable number, because it can be changed into a prime (6438161) 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, 91 + ... + 3589.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^6438160 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 6438160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812000).

6438160 is an abundant number, since it is smaller than the sum of its proper divisors (9185840).

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

6438160 is a wasteful number, since it uses less digits than its factorization.

6438160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 6438160 is about 2537.3529514043. The cubic root of 6438160 is about 186.0318286765.

The spelling of 6438160 in words is "six million, four hundred thirty-eight thousand, one hundred sixty".