306856 has 24 divisors (see below), whose sum is σ = 634410. Its totient is φ = 139040.

The previous prime is 306853. The next prime is 306857. The reversal of 306856 is 658603.

306856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 4356 = 550^2 + 66^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (306853) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 810 + ... + 1126.

2³⁰⁶⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317205).

306856 is an abundant number, since it is smaller than the sum of its proper divisors (327554).

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

306856 is a wasteful number, since it uses less digits than its factorization.

306856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 306856 is about 553.9458457286. The cubic root of 306856 is about 67.4494179808.

It can be divided in two parts, 30 and 6856, that added together give a palindrome (6886).

The spelling of 306856 in words is "three hundred six thousand, eight hundred fifty-six".