327680640 has 576 divisors, whose sum is σ = 1396755360. Its totient is φ = 73156608.

The previous prime is 327680623. The next prime is 327680641. The reversal of 327680640 is 46086723.

327680640 is a `hidden beast` number, since 3 + 2 + 7 + 6 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 327680595 and 327680604.

It is not an unprimeable number, because it can be changed into a prime (327680641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620459 + ... + 7620501.

Almost surely, 2^327680640 is an apocalyptic number.

327680640 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 327680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698377680).

327680640 is an abundant number, since it is smaller than the sum of its proper divisors (1069074720).

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

327680640 is an equidigital number, since it uses as much as digits as its factorization.

327680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 327680640 is about 18101.9512760365. The cubic root of 327680640 is about 689.4195496505.

The spelling of 327680640 in words is "three hundred twenty-seven million, six hundred eighty thousand, six hundred forty".