42068 has 12 divisors (see below), whose sum is σ = 79380. Its totient is φ = 19392.

The previous prime is 42061. The next prime is 42071. The reversal of 42068 is 86024.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 20164 = 148^2 + 142^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42061) by changing a digit.

42068 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, 353 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁴²⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

42068 is a deficient number, since it is larger than the sum of its proper divisors (37312).

42068 is a wasteful number, since it uses less digits than its factorization.

42068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 42068 is about 205.1048512347. The cubic root of 42068 is about 34.7790158427.

Subtracting 42068 from its reverse (86024), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 42068 in words is "forty-two thousand, sixty-eight".