321608240 has 80 divisors (see below), whose sum is σ = 770414976. Its totient is φ = 124800000.

The previous prime is 321608219. The next prime is 321608249. The reversal of 321608240 is 42806123.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (321608249) 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, 427865 + ... + 428615.

Almost surely, 2^321608240 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 321608240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385207488).

321608240 is an abundant number, since it is smaller than the sum of its proper divisors (448806736).

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

321608240 is a wasteful number, since it uses less digits than its factorization.

321608240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 321608240 is about 17933.4391570608. The cubic root of 321608240 is about 685.1343193009.

The spelling of 321608240 in words is "three hundred twenty-one million, six hundred eight thousand, two hundred forty".