326196 has 72 divisors (see below), whose sum is σ = 963144. Its totient is φ = 92160.

The previous prime is 326189. The next prime is 326203. The reversal of 326196 is 691623.

326196 = T₄₅ + T₄₆ + ... + T₁₂₆.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (326189) and next prime (326203).

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 324900 = 36^2 + 570^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

Its product of digits (1944) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 326196.

It is an unprimeable number.

326196 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7936 + ... + 7976.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2³²⁶¹⁹⁶ is an apocalyptic number.

326196 is a gapful number since it is divisible by the number (36) 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 326196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572).

326196 is an abundant number, since it is smaller than the sum of its proper divisors (636948).

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

326196 is a wasteful number, since it uses less digits than its factorization.

326196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 326196 is about 571.1357106678. The cubic root of 326196 is about 68.8376776678.

The spelling of 326196 in words is "three hundred twenty-six thousand, one hundred ninety-six".