42068160 has 168 divisors, whose sum is σ = 150333456. Its totient is φ = 11197440.

The previous prime is 42068153. The next prime is 42068207. The reversal of 42068160 is 6186024.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 77490 + ... + 78030.

It is an arithmetic number, because the mean of its divisors is an integer number (894842).

Almost surely, 2^42068160 is an apocalyptic number.

42068160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75166728).

42068160 is an abundant number, since it is smaller than the sum of its proper divisors (108265296).

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

42068160 is an equidigital number, since it uses as much as digits as its factorization.

42068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42068160 is about 6485.9972247913. The cubic root of 42068160 is about 347.7905993504.

The spelling of 42068160 in words is "forty-two million, sixty-eight thousand, one hundred sixty".