305968 has 20 divisors (see below), whose sum is σ = 638848. Its totient is φ = 141120.

The previous prime is 305947. The next prime is 305971. The reversal of 305968 is 869503.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 528 + ... + 943.

2³⁰⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

305968 is an abundant number, since it is smaller than the sum of its proper divisors (332880).

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

305968 is a wasteful number, since it uses less digits than its factorization.

305968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 305968 is about 553.1437426203. The cubic root of 305968 is about 67.3842919365.

The spelling of 305968 in words is "three hundred five thousand, nine hundred sixty-eight".