1728880 has 20 divisors (see below), whose sum is σ = 4019832. Its totient is φ = 691520.

The previous prime is 1728871. The next prime is 1728889. The reversal of 1728880 is 888271.

It is an interprime number because it is at equal distance from previous prime (1728871) and next prime (1728889).

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10726 + ... + 10885.

2^1728880 is an apocalyptic number.

1728880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728880 is an abundant number, since it is smaller than the sum of its proper divisors (2290952).

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

1728880 is a wasteful number, since it uses less digits than its factorization.

1728880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21624 (or 21618 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 1728880 is about 1314.8688147492. The cubic root of 1728880 is about 120.0203669134.

The spelling of 1728880 in words is "one million, seven hundred twenty-eight thousand, eight hundred eighty".