327536640 has 156 divisors (see below), whose sum is σ = 1135960644. Its totient is φ = 87293952.

The previous prime is 327536591. The next prime is 327536641. The reversal of 327536640 is 46635723.

327536640 is a `hidden beast` number, since 3 + 2 + 7 + 5 + 3 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 185831424 = 11904^2 + 13632^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 327536595 and 327536604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327536641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183432 + ... + 185208.

It is an arithmetic number, because the mean of its divisors is an integer number (7281799).

Almost surely, 2^327536640 is an apocalyptic number.

327536640 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 327536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567980322).

327536640 is an abundant number, since it is smaller than the sum of its proper divisors (808424004).

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

327536640 is a wasteful number, since it uses less digits than its factorization.

327536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 327536640 is about 18097.9733672033. The cubic root of 327536640 is about 689.3185458590.

It can be divided in two parts, 32753 and 6640, that added together give a palindrome (39393).

The spelling of 327536640 in words is "three hundred twenty-seven million, five hundred thirty-six thousand, six hundred forty".