327908160 has 168 divisors, whose sum is σ = 1155792456. Its totient is φ = 85278720.

The previous prime is 327908149. The next prime is 327908167. The reversal of 327908160 is 61809723.

It can be written as a sum of positive squares in 4 ways, for example, as 7354944 + 320553216 = 2712^2 + 17904^2 .

It is a super-2 number, since 2×327908160² = 215047522789171200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327908167) 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, 116692 + ... + 119468.

It is an arithmetic number, because the mean of its divisors is an integer number (6879717).

Almost surely, 2^327908160 is an apocalyptic number.

327908160 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 327908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577896228).

327908160 is an abundant number, since it is smaller than the sum of its proper divisors (827884296).

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

327908160 is a wasteful number, since it uses less digits than its factorization.

327908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 327908160 is about 18108.2345909258. The cubic root of 327908160 is about 689.5790753462.

The spelling of 327908160 in words is "three hundred twenty-seven million, nine hundred eight thousand, one hundred sixty".