327898368 has 252 divisors, whose sum is σ = 1125982368. Its totient is φ = 93312000.

The previous prime is 327898313. The next prime is 327898381. The reversal of 327898368 is 863898723.

327898368 is a `hidden beast` number, since 3 + 278 + 9 + 8 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 1306243 + ... + 1306493.

It is an arithmetic number, because the mean of its divisors is an integer number (4468184).

Almost surely, 2^327898368 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 327898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562991184).

327898368 is an abundant number, since it is smaller than the sum of its proper divisors (798084000).

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

327898368 is an frugal number, since it uses more digits than its factorization.

327898368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 327898368 is about 18107.9642146764. The cubic root of 327898368 is about 689.5722112032.

The spelling of 327898368 in words is "three hundred twenty-seven million, eight hundred ninety-eight thousand, three hundred sixty-eight".