396216 has 24 divisors (see below), whose sum is σ = 1073280. Its totient is φ = 132048.

The previous prime is 396203. The next prime is 396217. The reversal of 396216 is 612693.

It is a happy number.

396216 is a `hidden beast` number, since 39 + 621 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 396216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2680 + ... + 2823.

It is an arithmetic number, because the mean of its divisors is an integer number (44720).

2³⁹⁶²¹⁶ is an apocalyptic number.

396216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

396216 is an abundant number, since it is smaller than the sum of its proper divisors (677064).

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

396216 is a wasteful number, since it uses less digits than its factorization.

396216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5508 counting only the distinct ones).

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

The square root of 396216 is about 629.4569087714. The cubic root of 396216 is about 73.4475538672.

The spelling of 396216 in words is "three hundred ninety-six thousand, two hundred sixteen".