305988 has 24 divisors (see below), whose sum is σ = 731808. Its totient is φ = 99456.

The previous prime is 305971. The next prime is 305999. The reversal of 305988 is 889503.

305988 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×305988² = 187257312288, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305988.

It is an unprimeable number.

305988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

2³⁰⁵⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

305988 is an abundant number, since it is smaller than the sum of its proper divisors (425820).

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

305988 is a wasteful number, since it uses less digits than its factorization.

305988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 305988 is about 553.1618208083. The cubic root of 305988 is about 67.3857601254.

The spelling of 305988 in words is "three hundred five thousand, nine hundred eighty-eight".