322735968 has 96 divisors (see below), whose sum is σ = 950382720. Its totient is φ = 106542720.

The previous prime is 322735949. The next prime is 322735991. The reversal of 322735968 is 869537223.

322735968 is a `hidden beast` number, since 32 + 27 + 3 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90703 + ... + 94193.

It is an arithmetic number, because the mean of its divisors is an integer number (9899820).

Almost surely, 2^322735968 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 322735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475191360).

322735968 is an abundant number, since it is smaller than the sum of its proper divisors (627646752).

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

322735968 is a wasteful number, since it uses less digits than its factorization.

322735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3603 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 322735968 is about 17964.8536871303. The cubic root of 322735968 is about 685.9341991075.

The spelling of 322735968 in words is "three hundred twenty-two million, seven hundred thirty-five thousand, nine hundred sixty-eight".