1728896 has 32 divisors (see below), whose sum is σ = 3712800. Its totient is φ = 797184.

The previous prime is 1728889. The next prime is 1728907. The reversal of 1728896 is 6988271.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1145 + ... + 2183.

It is an arithmetic number, because the mean of its divisors is an integer number (116025).

2^1728896 is an apocalyptic number.

1728896 is a gapful number since it is divisible by the number (16) 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 1728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856400).

1728896 is an abundant number, since it is smaller than the sum of its proper divisors (1983904).

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

1728896 is a wasteful number, since it uses less digits than its factorization.

1728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1054 counting only the distinct ones).

The product of its digits is 48384, while the sum is 41.

The square root of 1728896 is about 1314.8748989923. The cubic root of 1728896 is about 120.0207371570.

The spelling of 1728896 in words is "one million, seven hundred twenty-eight thousand, eight hundred ninety-six".