320319552 has 112 divisors (see below), whose sum is σ = 992380032. Its totient is φ = 89272320.

The previous prime is 320319539. The next prime is 320319557. The reversal of 320319552 is 255913023.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (320319557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52198 + ... + 58010.

It is an arithmetic number, because the mean of its divisors is an integer number (8860536).

Almost surely, 2^320319552 is an apocalyptic number.

320319552 is a gapful number since it is divisible by the number (32) 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 320319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496190016).

320319552 is an abundant number, since it is smaller than the sum of its proper divisors (672060480).

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

320319552 is a wasteful number, since it uses less digits than its factorization.

320319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 320319552 is about 17897.4733412289. The cubic root of 320319552 is about 684.2179805238.

The spelling of 320319552 in words is "three hundred twenty million, three hundred nineteen thousand, five hundred fifty-two".