306656 has 36 divisors (see below), whose sum is σ = 709128. Its totient is φ = 127872.

The previous prime is 306653. The next prime is 306661. The reversal of 306656 is 656603.

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 306656.

It is not an unprimeable number, because it can be changed into a prime (306653) 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, 8270 + ... + 8306.

It is an arithmetic number, because the mean of its divisors is an integer number (19698).

2³⁰⁶⁶⁵⁶ 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 306656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354564).

306656 is an abundant number, since it is smaller than the sum of its proper divisors (402472).

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

306656 is an equidigital number, since it uses as much as digits as its factorization.

306656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 306656 is about 553.7652932425. The cubic root of 306656 is about 67.4347609262.

The spelling of 306656 in words is "three hundred six thousand, six hundred fifty-six".