1728960 has 56 divisors (see below), whose sum is σ = 5492496. Its totient is φ = 460800.

The previous prime is 1728959. The next prime is 1728967. The reversal of 1728960 is 698271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728967) 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, 60 + ... + 1860.

2^1728960 is an apocalyptic number.

1728960 is a gapful number since it is divisible by the number (10) 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 1728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746248).

1728960 is an abundant number, since it is smaller than the sum of its proper divisors (3763536).

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

1728960 is a wasteful number, since it uses less digits than its factorization.

1728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1728960 is about 1314.8992356831. The cubic root of 1728960 is about 120.0222181083.

The spelling of 1728960 in words is "one million, seven hundred twenty-eight thousand, nine hundred sixty".