326952 has 48 divisors (see below), whose sum is σ = 936000. Its totient is φ = 102816.

The previous prime is 326951. The next prime is 326983. The reversal of 326952 is 259623.

It is a super-2 number, since 2×326952² = 213795220608, which contains 22 as substring.

Its product of digits (3240) is a multiple of the sum of its prime factors (270).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 326952.

It is not an unprimeable number, because it can be changed into a prime (326951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1249 + ... + 1487.

It is an arithmetic number, because the mean of its divisors is an integer number (19500).

2³²⁶⁹⁵² 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 326952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468000).

326952 is an abundant number, since it is smaller than the sum of its proper divisors (609048).

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

326952 is a wasteful number, since it uses less digits than its factorization.

326952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 326952 is about 571.7971668345. The cubic root of 326952 is about 68.8908166108.

It can be divided in two parts, 3269 and 52, that added together give a triangular number (3321 = T₈₁).

The spelling of 326952 in words is "three hundred twenty-six thousand, nine hundred fifty-two".