327642 has 32 divisors (see below), whose sum is σ = 777600. Its totient is φ = 90048.

The previous prime is 327629. The next prime is 327647. The reversal of 327642 is 246723.

It is a d-powerful number, because it can be written as 3¹¹ + 2³ + 6 + 7⁶ + 4³ + 2¹⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327642.

It is not an unprimeable number, because it can be changed into a prime (327647) 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, 1084 + ... + 1352.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2³²⁷⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

327642 is an abundant number, since it is smaller than the sum of its proper divisors (449958).

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

327642 is a wasteful number, since it uses less digits than its factorization.

327642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310.

The product of its digits is 2016, while the sum is 24.

The square root of 327642 is about 572.4002096436. The cubic root of 327642 is about 68.9392449872.

It can be divided in two parts, 327 and 642, that added together give a palindrome (969).

The spelling of 327642 in words is "three hundred twenty-seven thousand, six hundred forty-two".