906867 has 24 divisors (see below), whose sum is σ = 1476384. Its totient is φ = 532224.

The previous prime is 906847. The next prime is 906869. The reversal of 906867 is 768609.

It is not a de Polignac number, because 906867 - 2¹⁰ = 905843 is a prime.

906867 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906867.

It is not an unprimeable number, because it can be changed into a prime (906869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2523 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (61516).

2⁹⁰⁶⁸⁶⁷ is an apocalyptic number.

906867 is a deficient number, since it is larger than the sum of its proper divisors (569517).

906867 is a wasteful number, since it uses less digits than its factorization.

906867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 906867 is about 952.2956473701. The cubic root of 906867 is about 96.7938726969.

The spelling of 906867 in words is "nine hundred six thousand, eight hundred sixty-seven".