42606 has 20 divisors (see below), whose sum is σ = 95832. Its totient is φ = 14148.

The previous prime is 42589. The next prime is 42611. The reversal of 42606 is 60624.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42606.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31 + ... + 293.

2⁴²⁶⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47916).

42606 is an abundant number, since it is smaller than the sum of its proper divisors (53226).

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

42606 is a wasteful number, since it uses less digits than its factorization.

42606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42606 is about 206.4122089412. The cubic root of 42606 is about 34.9266491041.

Adding to 42606 its sum of digits (18), we get a palindrome (42624).

It can be divided in two parts, 42 and 606, that multiplied together give a palindrome (25452).

The spelling of 42606 in words is "forty-two thousand, six hundred six".