327840 has 48 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 87296.

The previous prime is 327839. The next prime is 327851. The reversal of 327840 is 48723.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 327840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2³²⁷⁸⁴⁰ is an apocalyptic number.

327840 is a gapful number since it is divisible by the number (30) 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 327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

327840 is an abundant number, since it is smaller than the sum of its proper divisors (706368).

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

327840 is a wasteful number, since it uses less digits than its factorization.

327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 327840 is about 572.5731394329. The cubic root of 327840 is about 68.9531292692.

The spelling of 327840 in words is "three hundred twenty-seven thousand, eight hundred forty".