42107616 has 72 divisors (see below), whose sum is σ = 120393000. Its totient is φ = 13959936.

The previous prime is 42107609. The next prime is 42107647. The reversal of 42107616 is 61670124.

42107616 is a `hidden beast` number, since 42 + 1 + 0 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 42107616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84135 + ... + 84633.

It is an arithmetic number, because the mean of its divisors is an integer number (1672125).

Almost surely, 2^42107616 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 42107616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60196500).

42107616 is an abundant number, since it is smaller than the sum of its proper divisors (78285384).

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

42107616 is a wasteful number, since it uses less digits than its factorization.

42107616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42107616 is about 6489.0381413581. The cubic root of 42107616 is about 347.8992970607.

The spelling of 42107616 in words is "forty-two million, one hundred seven thousand, six hundred sixteen".