9006306 has 32 divisors (see below), whose sum is σ = 19063296. Its totient is φ = 2832000.

The previous prime is 9006293. The next prime is 9006313. The reversal of 9006306 is 6036009.

It is a super-2 number, since 2×9006306² = 162227095531272, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 7036 + ... + 8216.

It is an arithmetic number, because the mean of its divisors is an integer number (595728).

Almost surely, 2^9006306 is an apocalyptic number.

9006306 is an abundant number, since it is smaller than the sum of its proper divisors (10056990).

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

9006306 is a wasteful number, since it uses less digits than its factorization.

9006306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 9006306 is about 3001.0508159643. The cubic root of 9006306 is about 208.0569524764.

The spelling of 9006306 in words is "nine million, six thousand, three hundred six".