327414560 has 192 divisors, whose sum is σ = 924908544. Its totient is φ = 108134400.

The previous prime is 327414557. The next prime is 327414569. The reversal of 327414560 is 65414723.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (327414569) 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 31 ways as a sum of consecutive naturals, for example, 927344 + ... + 927696.

It is an arithmetic number, because the mean of its divisors is an integer number (4817232).

Almost surely, 2^327414560 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 327414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462454272).

327414560 is an abundant number, since it is smaller than the sum of its proper divisors (597493984).

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

327414560 is a wasteful number, since it uses less digits than its factorization.

327414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 327414560 is about 18094.6002995369. The cubic root of 327414560 is about 689.2328938992.

The spelling of 327414560 in words is "three hundred twenty-seven million, four hundred fourteen thousand, five hundred sixty".