327990 has 48 divisors (see below), whose sum is σ = 877968. Its totient is φ = 77952.

The previous prime is 327983. The next prime is 328007. The reversal of 327990 is 99723.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327990.

It is an unprimeable number.

327990 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11296 + ... + 11324.

It is an arithmetic number, because the mean of its divisors is an integer number (18291).

2³²⁷⁹⁹⁰ is an apocalyptic number.

327990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 327990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438984).

327990 is an abundant number, since it is smaller than the sum of its proper divisors (549978).

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

327990 is a wasteful number, since it uses less digits than its factorization.

327990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 327990 is about 572.7041120858. The cubic root of 327990 is about 68.9636439434.

The spelling of 327990 in words is "three hundred twenty-seven thousand, nine hundred ninety".