321093696 has 224 divisors, whose sum is σ = 1089672192. Its totient is φ = 81008640.

The previous prime is 321093679. The next prime is 321093697. The reversal of 321093696 is 696390123.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×321093696² = 206202323221880832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321093697) 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, 546715 + ... + 547301.

It is an arithmetic number, because the mean of its divisors is an integer number (4864608).

Almost surely, 2^321093696 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 321093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544836096).

321093696 is an abundant number, since it is smaller than the sum of its proper divisors (768578496).

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

321093696 is a wasteful number, since it uses less digits than its factorization.

321093696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 321093696 is about 17919.0874767662. The cubic root of 321093696 is about 684.7687400206.

The spelling of 321093696 in words is "three hundred twenty-one million, ninety-three thousand, six hundred ninety-six".