42080896 has 128 divisors (see below), whose sum is σ = 104529600. Its totient is φ = 16727040.

The previous prime is 42080893. The next prime is 42080921. The reversal of 42080896 is 69808024.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (42080893) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2214775 + ... + 2214793.

Almost surely, 2^42080896 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 42080896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52264800).

42080896 is an abundant number, since it is smaller than the sum of its proper divisors (62448704).

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

42080896 is a wasteful number, since it uses less digits than its factorization.

42080896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 42080896 is about 6486.9789578817. The cubic root of 42080896 is about 347.8256933039.

The spelling of 42080896 in words is "forty-two million, eighty thousand, eight hundred ninety-six".