327967640 has 128 divisors (see below), whose sum is σ = 990904320. Its totient is φ = 94348800.

The previous prime is 327967637. The next prime is 327967663. The reversal of 327967640 is 46769723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 327967591 and 327967600.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35945 + ... + 44135.

It is an arithmetic number, because the mean of its divisors is an integer number (7741440).

Almost surely, 2^327967640 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 327967640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495452160).

327967640 is an abundant number, since it is smaller than the sum of its proper divisors (662936680).

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

327967640 is a wasteful number, since it uses less digits than its factorization.

327967640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The square root of 327967640 is about 18109.8768631926. The cubic root of 327967640 is about 689.6207675929.

The spelling of 327967640 in words is "three hundred twenty-seven million, nine hundred sixty-seven thousand, six hundred forty".