42158688 has 192 divisors, whose sum is σ = 135136512. Its totient is φ = 11335680.

The previous prime is 42158687. The next prime is 42158717. The reversal of 42158688 is 88685124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42158681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507895 + ... + 507977.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 2^42158688 is an apocalyptic number.

42158688 is a gapful number since it is divisible by the number (48) 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 42158688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568256).

42158688 is an abundant number, since it is smaller than the sum of its proper divisors (92977824).

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

42158688 is a wasteful number, since it uses less digits than its factorization.

42158688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 42158688 is about 6492.9722007722. The cubic root of 42158688 is about 348.0398950167.

The spelling of 42158688 in words is "forty-two million, one hundred fifty-eight thousand, six hundred eighty-eight".