396816 has 40 divisors (see below), whose sum is σ = 1172544. Its totient is φ = 113280.

The previous prime is 396733. The next prime is 396833. The reversal of 396816 is 618693.

396816 is nontrivially palindromic in base 11.

It is an unprimeable number.

396816 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 7 ways as a sum of consecutive naturals, for example, 255 + ... + 926.

2³⁹⁶⁸¹⁶ is an apocalyptic number.

It is an amenable number.

396816 is an abundant number, since it is smaller than the sum of its proper divisors (775728).

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

396816 is a wasteful number, since it uses less digits than its factorization.

396816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1193 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 396816 is about 629.9333298056. The cubic root of 396816 is about 73.4846096704.

The spelling of 396816 in words is "three hundred ninety-six thousand, eight hundred sixteen".