1006687 has 12 divisors (see below), whose sum is σ = 1154664. Its totient is φ = 870320.

The previous prime is 1006651. The next prime is 1006711. The reversal of 1006687 is 7866001.

1006687 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 1006687 - 2⁷ = 1006559 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5733 + ... + 5905.

It is an arithmetic number, because the mean of its divisors is an integer number (96222).

2^1006687 is an apocalyptic number.

1006687 is a deficient number, since it is larger than the sum of its proper divisors (147977).

1006687 is a wasteful number, since it uses less digits than its factorization.

1006687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1006687 is about 1003.3379291146. The cubic root of 1006687 is about 100.2224049935. Note that the first 3 decimals are identical.

It can be divided in two parts, 10066 and 87, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 1006687 in words is "one million, six thousand, six hundred eighty-seven".