42059808 has 144 divisors (see below), whose sum is σ = 141313536. Its totient is φ = 11612160.

The previous prime is 42059791. The next prime is 42059827. The reversal of 42059808 is 80895024.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62160 + ... + 62832.

It is an arithmetic number, because the mean of its divisors is an integer number (981344).

Almost surely, 2^42059808 is an apocalyptic number.

42059808 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 42059808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70656768).

42059808 is an abundant number, since it is smaller than the sum of its proper divisors (99253728).

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

42059808 is a wasteful number, since it uses less digits than its factorization.

42059808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 42059808 is about 6485.3533442674. The cubic root of 42059808 is about 347.7675816308.

The spelling of 42059808 in words is "forty-two million, fifty-nine thousand, eight hundred eight".