305768 has 16 divisors (see below), whose sum is σ = 589380. Its totient is φ = 148608.

The previous prime is 305761. The next prime is 305771. The reversal of 305768 is 867503.

It can be written as a sum of positive squares in 2 ways, for example, as 228484 + 77284 = 478^2 + 278^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 305768.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305768.

It is not an unprimeable number, because it can be changed into a prime (305761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221 + ... + 812.

2³⁰⁵⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

305768 is a deficient number, since it is larger than the sum of its proper divisors (283612).

305768 is a wasteful number, since it uses less digits than its factorization.

305768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 305768 is about 552.9629282330. The cubic root of 305768 is about 67.3696065272.

It can be divided in two parts, 3057 and 68, that added together give a 5-th power (3125 = 5⁵).

The spelling of 305768 in words is "three hundred five thousand, seven hundred sixty-eight".