320806656 has 162 divisors, whose sum is σ = 965520192. Its totient is φ = 106375680.

The previous prime is 320806649. The next prime is 320806679. The reversal of 320806656 is 656608023.

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320806656.

It is a congruent number.

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 1679521 + ... + 1679711.

Almost surely, 2^320806656 is an apocalyptic number.

320806656 is a gapful number since it is divisible by the number (36) 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 320806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482760096).

320806656 is an abundant number, since it is smaller than the sum of its proper divisors (644713536).

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

320806656 is an frugal number, since it uses more digits than its factorization.

320806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 320806656 is about 17911.0763495665. The cubic root of 320806656 is about 684.5646307313.

The spelling of 320806656 in words is "three hundred twenty million, eight hundred six thousand, six hundred fifty-six".