320348160 has 336 divisors, whose sum is σ = 1226759040. Its totient is φ = 76677120.

The previous prime is 320348159. The next prime is 320348167. The reversal of 320348160 is 61843023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320348167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4055001 + ... + 4055079.

Almost surely, 2^320348160 is an apocalyptic number.

320348160 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 320348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613379520).

320348160 is an abundant number, since it is smaller than the sum of its proper divisors (906410880).

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

320348160 is a wasteful number, since it uses less digits than its factorization.

320348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 320348160 is about 17898.2725423433. The cubic root of 320348160 is about 684.2383492724.

The spelling of 320348160 in words is "three hundred twenty million, three hundred forty-eight thousand, one hundred sixty".