906685 has 24 divisors (see below), whose sum is σ = 1251720. Its totient is φ = 628992.

The previous prime is 906679. The next prime is 906691. The reversal of 906685 is 586609.

It is an interprime number because it is at equal distance from previous prime (906679) and next prime (906691).

It can be written as a sum of positive squares in 12 ways, for example, as 301401 + 605284 = 549^2 + 778^2 .

It is not a de Polignac number, because 906685 - 2⁷ = 906557 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 906685.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24487 + ... + 24523.

It is an arithmetic number, because the mean of its divisors is an integer number (52155).

2⁹⁰⁶⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

906685 is a deficient number, since it is larger than the sum of its proper divisors (345035).

906685 is a wasteful number, since it uses less digits than its factorization.

906685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 906685 is about 952.2000840160. The cubic root of 906685 is about 96.7873970456.

The spelling of 906685 in words is "nine hundred six thousand, six hundred eighty-five".