42420168 has 96 divisors (see below), whose sum is σ = 139052160. Its totient is φ = 11404800.

The previous prime is 42420109. The next prime is 42420181. The reversal of 42420168 is 86102424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6093 + ... + 11043.

It is an arithmetic number, because the mean of its divisors is an integer number (1448460).

Almost surely, 2^42420168 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 42420168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69526080).

42420168 is an abundant number, since it is smaller than the sum of its proper divisors (96631992).

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

42420168 is a wasteful number, since it uses less digits than its factorization.

42420168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4980 counting only the distinct ones).

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

The square root of 42420168 is about 6513.0766923168. The cubic root of 42420168 is about 348.7579595054.

The spelling of 42420168 in words is "forty-two million, four hundred twenty thousand, one hundred sixty-eight".