329968 has 20 divisors (see below), whose sum is σ = 656208. Its totient is φ = 160640.

The previous prime is 329957. The next prime is 329969. The reversal of 329968 is 869923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329969) 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 3 ways as a sum of consecutive naturals, for example, 405 + ... + 907.

2³²⁹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

329968 is a deficient number, since it is larger than the sum of its proper divisors (326240).

329968 is a wasteful number, since it uses less digits than its factorization.

329968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 329968 is about 574.4284115536. The cubic root of 329968 is about 69.1019985558.

It can be divided in two parts, 32 and 9968, that added together give a 4-th power (10000 = 10⁴).

The spelling of 329968 in words is "three hundred twenty-nine thousand, nine hundred sixty-eight".