327824 has 20 divisors (see below), whose sum is σ = 726144. Its totient is φ = 140448.

The previous prime is 327823. The next prime is 327827. The reversal of 327824 is 428723.

It is a d-powerful number, because it can be written as 3² + 2¹⁶ + 8² + 7 + 2¹⁸ + 4³ .

It is a junction number, because it is equal to n+sod(n) for n = 327793 and 327802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327824.

It is not an unprimeable number, because it can be changed into a prime (327823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1352 + ... + 1575.

2³²⁷⁸²⁴ is an apocalyptic number.

It is an amenable number.

327824 is an abundant number, since it is smaller than the sum of its proper divisors (398320).

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

327824 is a wasteful number, since it uses less digits than its factorization.

327824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2936 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 327824 is about 572.5591672482. The cubic root of 327824 is about 68.9520075147.

The spelling of 327824 in words is "three hundred twenty-seven thousand, eight hundred twenty-four".