305868 has 24 divisors (see below), whose sum is σ = 725760. Its totient is φ = 100240.

The previous prime is 305867. The next prime is 305873. The reversal of 305868 is 868503.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305868.

It is not an unprimeable number, because it can be changed into a prime (305861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2³⁰⁵⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

305868 is an abundant number, since it is smaller than the sum of its proper divisors (419892).

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

305868 is a wasteful number, since it uses less digits than its factorization.

305868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 305868 is about 553.0533428160. The cubic root of 305868 is about 67.3769500321.

The spelling of 305868 in words is "three hundred five thousand, eight hundred sixty-eight".