1006689 has 8 divisors (see below), whose sum is σ = 1421280. Its totient is φ = 631616.

The previous prime is 1006651. The next prime is 1006711. The reversal of 1006689 is 9866001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006689 - 2⁸ = 1006433 is a prime.

1006689 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1006609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9819 + ... + 9920.

It is an arithmetic number, because the mean of its divisors is an integer number (177660).

2^1006689 is an apocalyptic number.

It is an amenable number.

1006689 is a deficient number, since it is larger than the sum of its proper divisors (414591).

1006689 is a wasteful number, since it uses less digits than its factorization.

1006689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19759.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1006689 is about 1003.3389257873. The cubic root of 1006689 is about 100.2224713646. Note that the first 3 decimals are identical.

The spelling of 1006689 in words is "one million, six thousand, six hundred eighty-nine".