396896 has 24 divisors (see below), whose sum is σ = 796320. Its totient is φ = 194688.

The previous prime is 396887. The next prime is 396919. The reversal of 396896 is 698693.

396896 is an admirable number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

396896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2450 + ... + 2606.

It is an arithmetic number, because the mean of its divisors is an integer number (33180).

2³⁹⁶⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

396896 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

396896 is a wasteful number, since it uses less digits than its factorization.

396896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its digits is 69984, while the sum is 41.

The square root of 396896 is about 629.9968253888. The cubic root of 396896 is about 73.4895476213.

The spelling of 396896 in words is "three hundred ninety-six thousand, eight hundred ninety-six".