320640096 has 96 divisors (see below), whose sum is σ = 972034560. Its totient is φ = 90648576.

The previous prime is 320640059. The next prime is 320640097. The reversal of 320640096 is 690046023.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320640097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62725 + ... + 67643.

It is an arithmetic number, because the mean of its divisors is an integer number (10125360).

Almost surely, 2^320640096 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 320640096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486017280).

320640096 is an abundant number, since it is smaller than the sum of its proper divisors (651394464).

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

320640096 is a wasteful number, since it uses less digits than its factorization.

320640096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 320640096 is about 17906.4261090816. The cubic root of 320640096 is about 684.4461369060.

The spelling of 320640096 in words is "three hundred twenty million, six hundred forty thousand, ninety-six".