320563760 has 80 divisors (see below), whose sum is σ = 822402720. Its totient is φ = 115230720.

The previous prime is 320563759. The next prime is 320563783. The reversal of 320563760 is 67365023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×320563760² = 205522248450675200, which contains 22 as substring.

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, 76274 + ... + 80366.

It is an arithmetic number, because the mean of its divisors is an integer number (10280034).

Almost surely, 2^320563760 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 320563760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411201360).

320563760 is an abundant number, since it is smaller than the sum of its proper divisors (501838960).

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

320563760 is a wasteful number, since it uses less digits than its factorization.

320563760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 320563760 is about 17904.2944569173. The cubic root of 320563760 is about 684.3918163685.

The spelling of 320563760 in words is "three hundred twenty million, five hundred sixty-three thousand, seven hundred sixty".