306642 has 32 divisors (see below), whose sum is σ = 720000. Its totient is φ = 87024.

The previous prime is 306589. The next prime is 306643. The reversal of 306642 is 246603.

306642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 1984 + ... + 2132.

It is an arithmetic number, because the mean of its divisors is an integer number (22500).

2³⁰⁶⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360000).

306642 is an abundant number, since it is smaller than the sum of its proper divisors (413358).

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

306642 is a wasteful number, since it uses less digits than its factorization.

306642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 306642 is about 553.7526523639. The cubic root of 306642 is about 67.4337346937.

The spelling of 306642 in words is "three hundred six thousand, six hundred forty-two".