320096 has 24 divisors (see below), whose sum is σ = 720720. Its totient is φ = 137088.

The previous prime is 320083. The next prime is 320101. The reversal of 320096 is 690023.

It is a happy number.

320096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×320096² = 204922898432, which contains 22 as substring.

320096 is a modest number, since divided by 96 gives 32 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320096.

It is an unprimeable number.

320096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 491 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2³²⁰⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

320096 is an abundant number, since it is smaller than the sum of its proper divisors (400624).

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

320096 is a wasteful number, since it uses less digits than its factorization.

320096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 320096 is about 565.7702714000. The cubic root of 320096 is about 68.4058770870.

The spelling of 320096 in words is "three hundred twenty thousand, ninety-six".