42580608 has 192 divisors, whose sum is σ = 137675520. Its totient is φ = 11612160.

The previous prime is 42580607. The next prime is 42580609. The reversal of 42580608 is 80608524.

It is an interprime number because it is at equal distance from previous prime (42580607) and next prime (42580609).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (42580607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583260 + ... + 583332.

It is an arithmetic number, because the mean of its divisors is an integer number (717060).

Almost surely, 2^42580608 is an apocalyptic number.

42580608 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 42580608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68837760).

42580608 is an abundant number, since it is smaller than the sum of its proper divisors (95094912).

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

42580608 is a wasteful number, since it uses less digits than its factorization.

42580608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 42580608 is about 6525.3818279086. The cubic root of 42580608 is about 349.1970928564.

The spelling of 42580608 in words is "forty-two million, five hundred eighty thousand, six hundred eight".