327744 has 42 divisors (see below), whose sum is σ = 941070. Its totient is φ = 109056.

The previous prime is 327739. The next prime is 327757. The reversal of 327744 is 447723.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 97344 = 480^2 + 312^2 .

It is a super-2 number, since 2×327744² = 214832259072, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 292 + ... + 860.

2³²⁷⁷⁴⁴ 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 327744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470535).

327744 is an abundant number, since it is smaller than the sum of its proper divisors (613326).

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

327744 is a wasteful number, since it uses less digits than its factorization.

327744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 574 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 327744 is about 572.4893012101. The cubic root of 327744 is about 68.9463981944.

It can be divided in two parts, 3277 and 44, that added together give a triangular number (3321 = T₈₁).

The spelling of 327744 in words is "three hundred twenty-seven thousand, seven hundred forty-four", and thus it is an iban number.