320955648 has 288 divisors, whose sum is σ = 1021934592. Its totient is φ = 88473600.

The previous prime is 320955647. The next prime is 320955689. The reversal of 320955648 is 846559023.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320955641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5261538 + ... + 5261598.

It is an arithmetic number, because the mean of its divisors is an integer number (3548384).

Almost surely, 2^320955648 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 320955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510967296).

320955648 is an abundant number, since it is smaller than the sum of its proper divisors (700978944).

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

320955648 is a wasteful number, since it uses less digits than its factorization.

320955648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 320955648 is about 17915.2350807909. The cubic root of 320955648 is about 684.6705916124.

The spelling of 320955648 in words is "three hundred twenty million, nine hundred fifty-five thousand, six hundred forty-eight".