320080896 has 220 divisors, whose sum is σ = 1016507448. Its totient is φ = 99975168.

The previous prime is 320080867. The next prime is 320080919. The reversal of 320080896 is 698080023.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320080896.

It is an unprimeable 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 19 ways as a sum of consecutive naturals, for example, 1409935 + ... + 1410161.

Almost surely, 2^320080896 is an apocalyptic number.

320080896 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 320080896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508253724).

320080896 is an abundant number, since it is smaller than the sum of its proper divisors (696426552).

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

320080896 is a wasteful number, since it uses less digits than its factorization.

320080896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 320080896 is about 17890.8047890530. The cubic root of 320080896 is about 684.0480114037.

The spelling of 320080896 in words is "three hundred twenty million, eighty thousand, eight hundred ninety-six".