306648 has 24 divisors (see below), whose sum is σ = 830700. Its totient is φ = 102192.

The previous prime is 306643. The next prime is 306653. The reversal of 306648 is 846603.

306648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (306643) and next prime (306653).

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306648.

It is not an unprimeable number, because it can be changed into a prime (306643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2058 + ... + 2201.

2³⁰⁶⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

306648 is an abundant number, since it is smaller than the sum of its proper divisors (524052).

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

306648 is a wasteful number, since it uses less digits than its factorization.

306648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 306648 is about 553.7580699186. The cubic root of 306648 is about 67.4341745115.

The spelling of 306648 in words is "three hundred six thousand, six hundred forty-eight".