396612 has 36 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 126192.

The previous prime is 396601. The next prime is 396619. The reversal of 396612 is 216693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (396619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (29120).

2³⁹⁶⁶¹² 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 396612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

396612 is an abundant number, since it is smaller than the sum of its proper divisors (651708).

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

396612 is a wasteful number, since it uses less digits than its factorization.

396612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

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

The square root of 396612 is about 629.7713870922. The cubic root of 396612 is about 73.4720148909.

The spelling of 396612 in words is "three hundred ninety-six thousand, six hundred twelve".