305646 has 24 divisors (see below), whose sum is σ = 673512. Its totient is φ = 92400.

The previous prime is 305639. The next prime is 305663. The reversal of 305646 is 646503.

305646 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

305646 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516 + ... + 936.

It is an arithmetic number, because the mean of its divisors is an integer number (28063).

2³⁰⁵⁶⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336756).

305646 is an abundant number, since it is smaller than the sum of its proper divisors (367866).

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

305646 is a wasteful number, since it uses less digits than its factorization.

305646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 305646 is about 552.8526024177. The cubic root of 305646 is about 67.3606452828.

The spelling of 305646 in words is "three hundred five thousand, six hundred forty-six".