327314880 has 168 divisors, whose sum is σ = 1164945600. Its totient is φ = 84252672.

The previous prime is 327314861. The next prime is 327314887. The reversal of 327314880 is 88413723.

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 (327314887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81561 + ... + 85479.

It is an arithmetic number, because the mean of its divisors is an integer number (6934200).

Almost surely, 2^327314880 is an apocalyptic number.

327314880 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 327314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582472800).

327314880 is an abundant number, since it is smaller than the sum of its proper divisors (837630720).

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

327314880 is a wasteful number, since it uses less digits than its factorization.

327314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 327314880 is about 18091.8456769894. The cubic root of 327314880 is about 689.1629421046.

The spelling of 327314880 in words is "three hundred twenty-seven million, three hundred fourteen thousand, eight hundred eighty".