63642 has 8 divisors (see below), whose sum is σ = 127296. Its totient is φ = 21212.

The previous prime is 63629. The next prime is 63647. The reversal of 63642 is 24636.

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

63642 is an admirable number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (63647) by changing a digit.

63642 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, 5298 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (15912).

2⁶³⁶⁴² is an apocalyptic number.

63642 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 (63648).

63642 is a wasteful number, since it uses less digits than its factorization.

63642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612.

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

The square root of 63642 is about 252.2736609319. The cubic root of 63642 is about 39.9252771660.

The spelling of 63642 in words is "sixty-three thousand, six hundred forty-two".