327148020 has 144 divisors (see below), whose sum is σ = 1029279888. Its totient is φ = 84049920.

The previous prime is 327147973. The next prime is 327148027. The reversal of 327148020 is 20841723.

It can be written as a sum of positive squares in 8 ways, for example, as 9809424 + 317338596 = 3132^2 + 17814^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327148027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715632 + ... + 716088.

It is an arithmetic number, because the mean of its divisors is an integer number (7147777).

Almost surely, 2^327148020 is an apocalyptic number.

327148020 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 327148020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514639944).

327148020 is an abundant number, since it is smaller than the sum of its proper divisors (702131868).

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

327148020 is a wasteful number, since it uses less digits than its factorization.

327148020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 327148020 is about 18087.2336193239. The cubic root of 327148020 is about 689.0458140405.

Adding to 327148020 its reverse (20841723), we get a palindrome (347989743).

The spelling of 327148020 in words is "three hundred twenty-seven million, one hundred forty-eight thousand, twenty".