42035616 has 144 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 11579904.

The previous prime is 42035563. The next prime is 42035641. The reversal of 42035616 is 61653024.

42035616 is a `hidden beast` number, since 42 + 0 + 3 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 42035616.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58105 + ... + 58823.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^42035616 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 42035616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

42035616 is an abundant number, since it is smaller than the sum of its proper divisors (99487584).

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

42035616 is a wasteful number, since it uses less digits than its factorization.

42035616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42035616 is about 6483.4879501700. The cubic root of 42035616 is about 347.7008924146.

The spelling of 42035616 in words is "forty-two million, thirty-five thousand, six hundred sixteen".