327640320 has 432 divisors, whose sum is σ = 1377492480. Its totient is φ = 70189056.

The previous prime is 327640319. The next prime is 327640331. The reversal of 327640320 is 23046723.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370761 + ... + 1370999.

It is an arithmetic number, because the mean of its divisors is an integer number (3188640).

Almost surely, 2^327640320 is an apocalyptic number.

327640320 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 327640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688746240).

327640320 is an abundant number, since it is smaller than the sum of its proper divisors (1049852160).

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

327640320 is a wasteful number, since it uses less digits than its factorization.

327640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 327640320 is about 18100.8375496826. The cubic root of 327640320 is about 689.3912715721.

The spelling of 327640320 in words is "three hundred twenty-seven million, six hundred forty thousand, three hundred twenty".