320188896 has 96 divisors (see below), whose sum is σ = 945907200. Its totient is φ = 105356160.

The previous prime is 320188873. The next prime is 320188907. The reversal of 320188896 is 698881023.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65911 + ... + 70601.

It is an arithmetic number, because the mean of its divisors is an integer number (9853200).

Almost surely, 2^320188896 is an apocalyptic number.

320188896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320188896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472953600).

320188896 is an abundant number, since it is smaller than the sum of its proper divisors (625718304).

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

320188896 is a wasteful number, since it uses less digits than its factorization.

320188896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 320188896 is about 17893.8228447696. The cubic root of 320188896 is about 684.1249387041.

The spelling of 320188896 in words is "three hundred twenty million, one hundred eighty-eight thousand, eight hundred ninety-six".