1006677 has 36 divisors (see below), whose sum is σ = 1811680. Its totient is φ = 526176.

The previous prime is 1006651. The next prime is 1006711. The reversal of 1006677 is 7766001.

It is not a de Polignac number, because 1006677 - 2⁶ = 1006613 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006677.

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 35 ways as a sum of consecutive naturals, for example, 34699 + ... + 34727.

2^1006677 is an apocalyptic number.

It is an amenable number.

1006677 is a deficient number, since it is larger than the sum of its proper divisors (805003).

1006677 is a wasteful number, since it uses less digits than its factorization.

1006677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 1006677 is about 1003.3329457364. The cubic root of 1006677 is about 100.2220731368. Note that the first 3 decimals are identical.

The spelling of 1006677 in words is "one million, six thousand, six hundred seventy-seven".