320896 has 32 divisors (see below), whose sum is σ = 673200. Its totient is φ = 152064.

The previous prime is 320867. The next prime is 320899. The reversal of 320896 is 698023.

320896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320899) by changing a digit.

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, 2890 + ... + 2998.

2³²⁰⁸⁹⁶ 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 320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336600).

320896 is an abundant number, since it is smaller than the sum of its proper divisors (352304).

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

320896 is a wasteful number, since it uses less digits than its factorization.

320896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 320896 is about 566.4768309472. The cubic root of 320896 is about 68.4628174784.

The spelling of 320896 in words is "three hundred twenty thousand, eight hundred ninety-six".