320145760 has 96 divisors (see below), whose sum is σ = 833734944. Its totient is φ = 115200000.

The previous prime is 320145757. The next prime is 320145767. The reversal of 320145760 is 67541023.

320145760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320145767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176860 + ... + 178660.

It is an arithmetic number, because the mean of its divisors is an integer number (8684739).

Almost surely, 2^320145760 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 320145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416867472).

320145760 is an abundant number, since it is smaller than the sum of its proper divisors (513589184).

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

320145760 is a wasteful number, since it uses less digits than its factorization.

320145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 320145760 is about 17892.6174720190. The cubic root of 320145760 is about 684.0942154456.

Adding to 320145760 its reverse (67541023), we get a palindrome (387686783).

The spelling of 320145760 in words is "three hundred twenty million, one hundred forty-five thousand, seven hundred sixty".