320553216 has 81 divisors (see below), whose sum is σ = 926718429. Its totient is φ = 106564608.

The previous prime is 320553209. The next prime is 320553217. The reversal of 320553216 is 612355023.

The square root of 320553216 is 17904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 174240000 + 146313216 = 13200^2 + 12096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 320553216.

It is not an unprimeable number, because it can be changed into a prime (320553217) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 859206 + ... + 859578.

Almost surely, 2^320553216 is an apocalyptic number.

320553216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

320553216 is the 17904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320553216

320553216 is an abundant number, since it is smaller than the sum of its proper divisors (606165213).

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

320553216 is an frugal number, since it uses more digits than its factorization.

320553216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The cubic root of 320553216 is about 684.3843126024.

It can be divided in two parts, 320 and 553216, that added together give a square (553536 = 744²).

The spelling of 320553216 in words is "three hundred twenty million, five hundred fifty-three thousand, two hundred sixteen".