320348672 has 90 divisors (see below), whose sum is σ = 751220613. Its totient is φ = 136077312.

The previous prime is 320348653. The next prime is 320348723. The reversal of 320348672 is 276843023.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 202322176 + 118026496 = 14224^2 + 10864^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=12656.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2834888 + ... + 2835000.

Almost surely, 2^320348672 is an apocalyptic number.

320348672 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 320348672

320348672 is an abundant number, since it is smaller than the sum of its proper divisors (430871941).

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

320348672 is an frugal number, since it uses more digits than its factorization.

320348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 320348672 is about 17898.2868453939. The cubic root of 320348672 is about 684.2387138027.

The spelling of 320348672 in words is "three hundred twenty million, three hundred forty-eight thousand, six hundred seventy-two".