327240000 has 350 divisors, whose sum is σ = 1224165954. Its totient is φ = 86400000.

The previous prime is 327239963. The next prime is 327240013. The reversal of 327240000 is 42723.

It is a happy number.

327240000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 45805824 + 281434176 = 6768^2 + 16776^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239950 + ... + 3240050.

Almost surely, 2^327240000 is an apocalyptic number.

327240000 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 327240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612082977).

327240000 is an abundant number, since it is smaller than the sum of its proper divisors (896925954).

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

327240000 is an equidigital number, since it uses as much as digits as its factorization.

327240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 327240000 is about 18089.7761180176. The cubic root of 327240000 is about 689.1103847051.

Adding to 327240000 its reverse (42723), we get a palindrome (327282723).

The spelling of 327240000 in words is "three hundred twenty-seven million, two hundred forty thousand".