42066108 has 72 divisors (see below), whose sum is σ = 126882000. Its totient is φ = 12017376.

The previous prime is 42066107. The next prime is 42066119. The reversal of 42066108 is 80166024.

42066108 is a `hidden beast` number, since 42 + 0 + 6 + 610 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42066107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1318 + ... + 9266.

It is an arithmetic number, because the mean of its divisors is an integer number (1762250).

Almost surely, 2^42066108 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 42066108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63441000).

42066108 is an abundant number, since it is smaller than the sum of its proper divisors (84815892).

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

42066108 is a wasteful number, since it uses less digits than its factorization.

42066108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42066108 is about 6485.8390359305. The cubic root of 42066108 is about 347.7849444172.

The spelling of 42066108 in words is "forty-two million, sixty-six thousand, one hundred eight".