327803112 has 384 divisors, whose sum is σ = 1210809600. Its totient is φ = 80621568.

The previous prime is 327803101. The next prime is 327803117. The reversal of 327803112 is 211308723.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327803117) 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 95 ways as a sum of consecutive naturals, for example, 3007314 + ... + 3007422.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 2^327803112 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 327803112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).

327803112 is an abundant number, since it is smaller than the sum of its proper divisors (883006488).

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

327803112 is a wasteful number, since it uses less digits than its factorization.

327803112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 327803112 is about 18105.3337997398. Note that the first 3 decimals coincide. The cubic root of 327803112 is about 689.5054300919.

The spelling of 327803112 in words is "three hundred twenty-seven million, eight hundred three thousand, one hundred twelve".