326832 has 40 divisors (see below), whose sum is σ = 922560. Its totient is φ = 98880.

The previous prime is 326831. The next prime is 326863. The reversal of 326832 is 238623.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3⁵ + 2² + 8⁴ + 6⁴ + 3¹⁰ + 2¹⁸ .

It is not an unprimeable number, because it can be changed into a prime (326831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (23064).

2³²⁶⁸³² 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 326832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280).

326832 is an abundant number, since it is smaller than the sum of its proper divisors (595728).

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

326832 is a wasteful number, since it uses less digits than its factorization.

326832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 326832 is about 571.6922248903. The cubic root of 326832 is about 68.8823873311.

Subtracting from 326832 its reverse (238623), we obtain a square (88209 = 297²).

The spelling of 326832 in words is "three hundred twenty-six thousand, eight hundred thirty-two".