327468960 has 768 divisors, whose sum is σ = 1524096000. Its totient is φ = 65028096.

The previous prime is 327468937. The next prime is 327468961. The reversal of 327468960 is 69864723.

327468960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (327468961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19262872 + ... + 19262888.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2^327468960 is an apocalyptic number.

327468960 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 327468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048000).

327468960 is an abundant number, since it is smaller than the sum of its proper divisors (1196627040).

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

327468960 is a wasteful number, since it uses less digits than its factorization.

327468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 327468960 is about 18096.1034479802. The cubic root of 327468960 is about 689.2710638501.

The spelling of 327468960 in words is "three hundred twenty-seven million, four hundred sixty-eight thousand, nine hundred sixty".