306912 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 97152.

The previous prime is 306899. The next prime is 306913. The reversal of 306912 is 219603.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306912.

It is not an unprimeable number, because it can be changed into a prime (306913) by changing a digit.

306912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2139 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³⁰⁶⁹¹² is an apocalyptic number.

306912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

306912 is an abundant number, since it is smaller than the sum of its proper divisors (539808).

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

306912 is a wasteful number, since it uses less digits than its factorization.

306912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 306912 is about 553.9963898799. The cubic root of 306912 is about 67.4535208148.

It can be divided in two parts, 3069 and 12, that added together give a triangular number (3081 = T₇₈).

The spelling of 306912 in words is "three hundred six thousand, nine hundred twelve".