906084 has 18 divisors (see below), whose sum is σ = 2290470. Its totient is φ = 302016.

The previous prime is 906043. The next prime is 906089. The reversal of 906084 is 480609.

It can be written as a sum of positive squares in only one way, i.e., 675684 + 230400 = 822^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906084.

It is not an unprimeable number, because it can be changed into a prime (906089) by changing a digit.

906084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12549 + ... + 12620.

2⁹⁰⁶⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

906084 is an abundant number, since it is smaller than the sum of its proper divisors (1384386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

906084 is a wasteful number, since it uses less digits than its factorization.

906084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25179 (or 25174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 906084 is about 951.8844467686. The cubic root of 906084 is about 96.7660070064.

The spelling of 906084 in words is "nine hundred six thousand, eighty-four".