42067168 has 96 divisors (see below), whose sum is σ = 100971360. Its totient is φ = 16988160.

The previous prime is 42067141. The next prime is 42067169. The reversal of 42067168 is 86176024.

It is a super-3 number, since 3×42067168³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42067169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132546 + ... + 132862.

It is an arithmetic number, because the mean of its divisors is an integer number (1051785).

Almost surely, 2^42067168 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 42067168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50485680).

42067168 is an abundant number, since it is smaller than the sum of its proper divisors (58904192).

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

42067168 is a wasteful number, since it uses less digits than its factorization.

42067168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 42067168 is about 6485.9207519056. The cubic root of 42067168 is about 347.7878656045.

The spelling of 42067168 in words is "forty-two million, sixty-seven thousand, one hundred sixty-eight".