306726 has 32 divisors (see below), whose sum is σ = 718080. Its totient is φ = 85536.

The previous prime is 306707. The next prime is 306727. The reversal of 306726 is 627603.

It is a junction number, because it is equal to n+sod(n) for n = 306696 and 306705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306727) by changing a digit.

306726 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 15 ways as a sum of consecutive naturals, for example, 2760 + ... + 2868.

It is an arithmetic number, because the mean of its divisors is an integer number (22440).

2³⁰⁶⁷²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359040).

306726 is an abundant number, since it is smaller than the sum of its proper divisors (411354).

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

306726 is a wasteful number, since it uses less digits than its factorization.

306726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 306726 is about 553.8284933082. The cubic root of 306726 is about 67.4398916200.

The spelling of 306726 in words is "three hundred six thousand, seven hundred twenty-six".