320896080 has 240 divisors, whose sum is σ = 1184549184. Its totient is φ = 80455680.

The previous prime is 320896067. The next prime is 320896091. The reversal of 320896080 is 80698023.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 329995 + ... + 330965.

Almost surely, 2^320896080 is an apocalyptic number.

320896080 is a gapful number since it is divisible by the number (30) 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 320896080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592274592).

320896080 is an abundant number, since it is smaller than the sum of its proper divisors (863653104).

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

320896080 is a wasteful number, since it uses less digits than its factorization.

320896080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 998 counting only the distinct ones).

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

The square root of 320896080 is about 17913.5725080175. The cubic root of 320896080 is about 684.6282316773.

The spelling of 320896080 in words is "three hundred twenty million, eight hundred ninety-six thousand, eighty".