1728864 has 120 divisors (see below), whose sum is σ = 5488560. Its totient is φ = 532224.

The previous prime is 1728827. The next prime is 1728871. The reversal of 1728864 is 4688271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59602 + ... + 59630.

It is an arithmetic number, because the mean of its divisors is an integer number (45738).

2^1728864 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 1728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744280).

1728864 is an abundant number, since it is smaller than the sum of its proper divisors (3759696).

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

1728864 is a wasteful number, since it uses less digits than its factorization.

1728864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1728864 is about 1314.8627304780. The cubic root of 1728864 is about 120.0199966676.

The spelling of 1728864 in words is "one million, seven hundred twenty-eight thousand, eight hundred sixty-four".