327946320 has 400 divisors, whose sum is σ = 1304447760. Its totient is φ = 75644928.

The previous prime is 327946313. The next prime is 327946361. The reversal of 327946320 is 23649723.

It is a happy number.

327946320 is a `hidden beast` number, since 327 + 9 + 4 + 6 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6533136 + 321413184 = 2556^2 + 17928^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431966 + ... + 1432194.

Almost surely, 2^327946320 is an apocalyptic number.

327946320 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 327946320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652223880).

327946320 is an abundant number, since it is smaller than the sum of its proper divisors (976501440).

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

327946320 is a wasteful number, since it uses less digits than its factorization.

327946320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 327946320 is about 18109.2882245548. The cubic root of 327946320 is about 689.6058240115.

The spelling of 327946320 in words is "three hundred twenty-seven million, nine hundred forty-six thousand, three hundred twenty".