320849568 has 216 divisors, whose sum is σ = 1055261844. Its totient is φ = 91607040.

The previous prime is 320849567. The next prime is 320849579. The reversal of 320849568 is 865948023.

320849568 is a `hidden beast` number, since 3 + 2 + 0 + 84 + 9 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 320123664 + 725904 = 17892^2 + 852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320849567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4518973 + ... + 4519043.

Almost surely, 2^320849568 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 320849568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527630922).

320849568 is an abundant number, since it is smaller than the sum of its proper divisors (734412276).

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

320849568 is a wasteful number, since it uses less digits than its factorization.

320849568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 320849568 is about 17912.2742274676. The cubic root of 320849568 is about 684.5951524668.

The spelling of 320849568 in words is "three hundred twenty million, eight hundred forty-nine thousand, five hundred sixty-eight".