999306 has 72 divisors (see below), whose sum is σ = 2774304. Its totient is φ = 257040.

The previous prime is 999287. The next prime is 999307. The reversal of 999306 is 603999.

It is a super-3 number, since 3×999306³ = 2993758333721233848, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (999307) by changing a digit.

999306 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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9651 + ... + 9753.

It is an arithmetic number, because the mean of its divisors is an integer number (38532).

2⁹⁹⁹³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387152).

999306 is an abundant number, since it is smaller than the sum of its proper divisors (1774998).

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

999306 is a wasteful number, since it uses less digits than its factorization.

999306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 999306 is about 999.6529397746. The cubic root of 999306 is about 99.9768613131.

The spelling of 999306 in words is "nine hundred ninety-nine thousand, three hundred six".