906305666 has 24 divisors (see below), whose sum is σ = 1674438156. Its totient is φ = 365568000.

The previous prime is 906305663. The next prime is 906305669. The reversal of 906305666 is 666503609.

It is an interprime number because it is at equal distance from previous prime (906305663) and next prime (906305669).

It can be written as a sum of positive squares in 2 ways, for example, as 891321025 + 14984641 = 29855^2 + 3871^2 .

It is not an unprimeable number, because it can be changed into a prime (906305663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270335 + ... + 273666.

Almost surely, 2^906305666 is an apocalyptic number.

906305666 is a deficient number, since it is larger than the sum of its proper divisors (768132490).

906305666 is a wasteful number, since it uses less digits than its factorization.

906305666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544034 (or 544027 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The square root of 906305666 is about 30104.9109947198. The cubic root of 906305666 is about 967.7389736565.

The spelling of 906305666 in words is "nine hundred six million, three hundred five thousand, six hundred sixty-six".