320347632 has 80 divisors (see below), whose sum is σ = 905120640. Its totient is φ = 96825600.

The previous prime is 320347631. The next prime is 320347663. The reversal of 320347632 is 236743023.

It is a self number, because there is not a number n which added to its sum of digits gives 320347632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320347631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 389782 + ... + 390602.

It is an arithmetic number, because the mean of its divisors is an integer number (11314008).

Almost surely, 2^320347632 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 320347632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452560320).

320347632 is an abundant number, since it is smaller than the sum of its proper divisors (584773008).

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

320347632 is a wasteful number, since it uses less digits than its factorization.

320347632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 320347632 is about 17898.2577923104. The cubic root of 320347632 is about 684.2379733501.

The spelling of 320347632 in words is "three hundred twenty million, three hundred forty-seven thousand, six hundred thirty-two".