6728064 has 64 divisors (see below), whose sum is σ = 20432640. Its totient is φ = 1921536.

The previous prime is 6728047. The next prime is 6728083. The reversal of 6728064 is 4608276.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1437 + ... + 3939.

It is an arithmetic number, because the mean of its divisors is an integer number (319260).

Almost surely, 2^6728064 is an apocalyptic number.

6728064 is a gapful number since it is divisible by the number (64) 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 6728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10216320).

6728064 is an abundant number, since it is smaller than the sum of its proper divisors (13704576).

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

6728064 is a wasteful number, since it uses less digits than its factorization.

6728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6728064 is about 2593.8511907972. The cubic root of 6728064 is about 188.7832121432.

The spelling of 6728064 in words is "six million, seven hundred twenty-eight thousand, sixty-four".