1006728 has 16 divisors (see below), whose sum is σ = 2516880. Its totient is φ = 335568.

The previous prime is 1006721. The next prime is 1006739. The reversal of 1006728 is 8276001.

1006728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 41947 = 1006728 / (1 + 0 + 0 + 6 + 7 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 1006698 and 1006707.

It is not an unprimeable number, because it can be changed into a prime (1006721) 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, 20950 + ... + 20997.

It is an arithmetic number, because the mean of its divisors is an integer number (157305).

2^1006728 is an apocalyptic number.

It is an amenable number.

1006728 is an abundant number, since it is smaller than the sum of its proper divisors (1510152).

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

1006728 is a wasteful number, since it uses less digits than its factorization.

1006728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41956 (or 41952 counting only the distinct ones).

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

The square root of 1006728 is about 1003.3583607067. The cubic root of 1006728 is about 100.2237655828.

The spelling of 1006728 in words is "one million, six thousand, seven hundred twenty-eight".