42008600 has 96 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 15897600.

The previous prime is 42008599. The next prime is 42008609. The reversal of 42008600 is 680024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42008609) 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 23 ways as a sum of consecutive naturals, for example, 385346 + ... + 385454.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^42008600 is an apocalyptic number.

42008600 is a gapful number since it is divisible by the number (40) 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 42008600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

42008600 is an abundant number, since it is smaller than the sum of its proper divisors (61109800).

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

42008600 is a wasteful number, since it uses less digits than its factorization.

42008600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 42008600 is about 6481.4041688511. The cubic root of 42008600 is about 347.6263881307.

Adding to 42008600 its reverse (680024), we get a palindrome (42688624).

The spelling of 42008600 in words is "forty-two million, eight thousand, six hundred".