321696 has 36 divisors (see below), whose sum is σ = 915642. Its totient is φ = 107136.

The previous prime is 321679. The next prime is 321707. The reversal of 321696 is 696123.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 3600 = 564^2 + 60^2 .

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 an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321696.

It is an unprimeable number.

321696 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 5 ways as a sum of consecutive naturals, for example, 271 + ... + 846.

2³²¹⁶⁹⁶ is an apocalyptic number.

321696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

321696 is an abundant number, since it is smaller than the sum of its proper divisors (593946).

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

321696 is a wasteful number, since it uses less digits than its factorization.

321696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

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

The square root of 321696 is about 567.1825103086. The cubic root of 321696 is about 68.5196633127.

It can be divided in two parts, 32 and 1696, that added together give a cube (1728 = 12³).

The spelling of 321696 in words is "three hundred twenty-one thousand, six hundred ninety-six".