327365280 has 288 divisors, whose sum is σ = 1265181120. Its totient is φ = 78405120.

The previous prime is 327365267. The next prime is 327365287. The reversal of 327365280 is 82563723.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327365287) by changing a digit.

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, 3944119 + ... + 3944201.

It is an arithmetic number, because the mean of its divisors is an integer number (4392990).

Almost surely, 2^327365280 is an apocalyptic number.

327365280 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 327365280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632590560).

327365280 is an abundant number, since it is smaller than the sum of its proper divisors (937815840).

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

327365280 is a wasteful number, since it uses less digits than its factorization.

327365280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 327365280 is about 18093.2385160866. The cubic root of 327365280 is about 689.1983127643.

It can be divided in two parts, 327365 and 280, that added together give a triangular number (327645 = T₈₀₉).

The spelling of 327365280 in words is "three hundred twenty-seven million, three hundred sixty-five thousand, two hundred eighty".