601728 has 32 divisors (see below), whose sum is σ = 1599360. Its totient is φ = 200448.

The previous prime is 601717. The next prime is 601747. The reversal of 601728 is 827106.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 601698 and 601707.

It is an unprimeable number.

601728 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 400 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (49980).

2⁶⁰¹⁷²⁸ is an apocalyptic number.

It is an amenable number.

601728 is an abundant number, since it is smaller than the sum of its proper divisors (997632).

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

601728 is a wasteful number, since it uses less digits than its factorization.

601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 601728 is about 775.7112864978. The cubic root of 601728 is about 84.4241584594.

The spelling of 601728 in words is "six hundred one thousand, seven hundred twenty-eight".