42024 has 32 divisors (see below), whose sum is σ = 112320. Its totient is φ = 13056.

The previous prime is 42023. The next prime is 42043.

42024 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 205²-1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (42023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2⁴²⁰²⁴ 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 42024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160).

42024 is an abundant number, since it is smaller than the sum of its proper divisors (70296).

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

42024 is a wasteful number, since it uses less digits than its factorization.

42024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42024 is about 204.9975609611. The cubic root of 42024 is about 34.7668861913.

It can be divided in two parts, 420 and 24, that added together give a palindrome (444).

The spelling of 42024 in words is "forty-two thousand, twenty-four", and thus it is an iban number.