42008768 has 28 divisors (see below), whose sum is σ = 88267032. Its totient is φ = 19768320.

The previous prime is 42008761. The next prime is 42008773. The reversal of 42008768 is 86780024.

It is not an unprimeable number, because it can be changed into a prime (42008761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18218 + ... + 20393.

It is an arithmetic number, because the mean of its divisors is an integer number (3152394).

Almost surely, 2^42008768 is an apocalyptic number.

It is an amenable number.

42008768 is an abundant number, since it is smaller than the sum of its proper divisors (46258264).

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

42008768 is a wasteful number, since it uses less digits than its factorization.

42008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38640 (or 38630 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 42008768 is about 6481.4171289927. The cubic root of 42008768 is about 347.6268515371.

The spelling of 42008768 in words is "forty-two million, eight thousand, seven hundred sixty-eight".