42167268 has 72 divisors (see below), whose sum is σ = 125239296. Its totient is φ = 11793600.

The previous prime is 42167263. The next prime is 42167269. The reversal of 42167268 is 86276124.

42167268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42167263) by changing a digit.

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, 1053 + ... + 9243.

Almost surely, 2^42167268 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 42167268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62619648).

42167268 is an abundant number, since it is smaller than the sum of its proper divisors (83072028).

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

42167268 is a wasteful number, since it uses less digits than its factorization.

42167268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8220 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 42167268 is about 6493.6328815233. The cubic root of 42167268 is about 348.0635040669.

The spelling of 42167268 in words is "forty-two million, one hundred sixty-seven thousand, two hundred sixty-eight".