320001648 has 80 divisors (see below), whose sum is σ = 883336320. Its totient is φ = 99525888.

The previous prime is 320001637. The next prime is 320001713. The reversal of 320001648 is 846100023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 58486 + ... + 63722.

It is an arithmetic number, because the mean of its divisors is an integer number (11041704).

Almost surely, 2^320001648 is an apocalyptic number.

320001648 is a gapful number since it is divisible by the number (38) 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 320001648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441668160).

320001648 is an abundant number, since it is smaller than the sum of its proper divisors (563334672).

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

320001648 is a wasteful number, since it uses less digits than its factorization.

320001648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 320001648 is about 17888.5898829393. The cubic root of 320001648 is about 683.9915528521.

The spelling of 320001648 in words is "three hundred twenty million, one thousand, six hundred forty-eight".