327971440 has 80 divisors (see below), whose sum is σ = 793029600. Its totient is φ = 125991936.

The previous prime is 327971431. The next prime is 327971443. The reversal of 327971440 is 44179723.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 327971440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327971443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865171 + ... + 865549.

It is an arithmetic number, because the mean of its divisors is an integer number (9912870).

Almost surely, 2^327971440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396514800).

327971440 is an abundant number, since it is smaller than the sum of its proper divisors (465058160).

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

327971440 is a wasteful number, since it uses less digits than its factorization.

327971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 327971440 is about 18109.9817780140. The cubic root of 327971440 is about 689.6234310150.

The spelling of 327971440 in words is "three hundred twenty-seven million, nine hundred seventy-one thousand, four hundred forty".