42168024 has 96 divisors (see below), whose sum is σ = 123664320. Its totient is φ = 12930048.

The previous prime is 42168017. The next prime is 42168037. The reversal of 42168024 is 42086124.

42168024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57162 + ... + 57894.

It is an arithmetic number, because the mean of its divisors is an integer number (1288170).

Almost surely, 2^42168024 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 42168024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61832160).

42168024 is an abundant number, since it is smaller than the sum of its proper divisors (81496296).

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

42168024 is a wasteful number, since it uses less digits than its factorization.

42168024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42168024 is about 6493.6910921293. The cubic root of 42168024 is about 348.0655841513.

The spelling of 42168024 in words is "forty-two million, one hundred sixty-eight thousand, twenty-four".