906879 has 16 divisors (see below), whose sum is σ = 1268064. Its totient is φ = 576000.

The previous prime is 906869. The next prime is 906881. The reversal of 906879 is 978609.

It is not a de Polignac number, because 906879 - 2⁵ = 906847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8929 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (79254).

2⁹⁰⁶⁸⁷⁹ is an apocalyptic number.

906879 is a deficient number, since it is larger than the sum of its proper divisors (361185).

906879 is a wasteful number, since it uses less digits than its factorization.

906879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 906879 is about 952.3019479136. The cubic root of 906879 is about 96.7942996324.

The spelling of 906879 in words is "nine hundred six thousand, eight hundred seventy-nine".