42690 has 16 divisors (see below), whose sum is σ = 102528. Its totient is φ = 11376.

The previous prime is 42689. The next prime is 42697. The reversal of 42690 is 9624.

It is a super-3 number, since 3×42690³ = 233399391327000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

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 42690.

It is not an unprimeable number, because it can be changed into a prime (42697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (6408).

2⁴²⁶⁹⁰ is an apocalyptic number.

42690 is an abundant number, since it is smaller than the sum of its proper divisors (59838).

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 (51264).

42690 is a wasteful number, since it uses less digits than its factorization.

42690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 42690 is about 206.6155850850. The cubic root of 42690 is about 34.9495872862.

The spelling of 42690 in words is "forty-two thousand, six hundred ninety".