1728064 has 56 divisors (see below), whose sum is σ = 3868928. Its totient is φ = 760320.

The previous prime is 1728061. The next prime is 1728071. The reversal of 1728064 is 4608271.

It is not an unprimeable number, because it can be changed into a prime (1728061) 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, 25759 + ... + 25825.

It is an arithmetic number, because the mean of its divisors is an integer number (69088).

2^1728064 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 1728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934464).

1728064 is an abundant number, since it is smaller than the sum of its proper divisors (2140864).

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

1728064 is a wasteful number, since it uses less digits than its factorization.

1728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1728064 is about 1314.5584810118. The cubic root of 1728064 is about 120.0014814632.

The spelling of 1728064 in words is "one million, seven hundred twenty-eight thousand, sixty-four".