327964 has 48 divisors (see below), whose sum is σ = 762048. Its totient is φ = 119808.

The previous prime is 327953. The next prime is 327967. The reversal of 327964 is 469723.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6162 + ... + 6214.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2³²⁷⁹⁶⁴ is an apocalyptic number.

327964 is a gapful number since it is divisible by the number (34) 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 327964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

327964 is an abundant number, since it is smaller than the sum of its proper divisors (434084).

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

327964 is a wasteful number, since it uses less digits than its factorization.

327964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 327964 is about 572.6814123053. The cubic root of 327964 is about 68.9618216296.

The spelling of 327964 in words is "three hundred twenty-seven thousand, nine hundred sixty-four".