30642 has 8 divisors (see below), whose sum is σ = 61296. Its totient is φ = 10212.

The previous prime is 30637. The next prime is 30643. The reversal of 30642 is 24603.

It is a sphenic number, since it is the product of 3 distinct primes.

30642 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (30643) by changing a digit.

30642 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, 2548 + ... + 2559.

It is an arithmetic number, because the mean of its divisors is an integer number (7662).

2³⁰⁶⁴² is an apocalyptic number.

30642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30648).

30642 is a wasteful number, since it uses less digits than its factorization.

30642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30642 is about 175.0485646899. The cubic root of 30642 is about 31.2924117471.

The spelling of 30642 in words is "thirty thousand, six hundred forty-two".