309648 has 20 divisors (see below), whose sum is σ = 800048. Its totient is φ = 103200.

The previous prime is 309637. The next prime is 309667. The reversal of 309648 is 846903.

309648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309648.

It is an unprimeable number.

309648 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 3 ways as a sum of consecutive naturals, for example, 3178 + ... + 3273.

2³⁰⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

309648 is an abundant number, since it is smaller than the sum of its proper divisors (490400).

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

309648 is a wasteful number, since it uses less digits than its factorization.

309648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 309648 is about 556.4602411673. The cubic root of 309648 is about 67.6533686838.

The spelling of 309648 in words is "three hundred nine thousand, six hundred forty-eight".