42636 has 48 divisors (see below), whose sum is σ = 120960. Its totient is φ = 11520.

The previous prime is 42611. The next prime is 42641. The reversal of 42636 is 63624.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (864) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 9 and base 15.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2235 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2⁴²⁶³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

42636 is an abundant number, since it is smaller than the sum of its proper divisors (78324).

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

42636 is a wasteful number, since it uses less digits than its factorization.

42636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 52 counting only the distinct ones).

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

The square root of 42636 is about 206.4848662735. The cubic root of 42636 is about 34.9348447701.

The spelling of 42636 in words is "forty-two thousand, six hundred thirty-six".