320460064 has 48 divisors (see below), whose sum is σ = 675015768. Its totient is φ = 149225472.

The previous prime is 320460029. The next prime is 320460067. The reversal of 320460064 is 460064023.

It can be written as a sum of positive squares in 4 ways, for example, as 320123664 + 336400 = 17892^2 + 580^2 .

It is not an unprimeable number, because it can be changed into a prime (320460067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49732 + ... + 55804.

Almost surely, 2^320460064 is an apocalyptic number.

320460064 is a gapful number since it is divisible by the number (34) 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 320460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337507884).

320460064 is an abundant number, since it is smaller than the sum of its proper divisors (354555704).

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

320460064 is a wasteful number, since it uses less digits than its factorization.

320460064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6197 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 320460064 is about 17901.3983811321. The cubic root of 320460064 is about 684.3180126968.

The spelling of 320460064 in words is "three hundred twenty million, four hundred sixty thousand, sixty-four".