42127616 has 54 divisors (see below), whose sum is σ = 87059070. Its totient is φ = 20342784.

The previous prime is 42127607. The next prime is 42127639. The reversal of 42127616 is 61672124.

It can be written as a sum of positive squares in only one way, i.e., 30294016 + 11833600 = 5504^2 + 3440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 473300 + ... + 473388.

It is an arithmetic number, because the mean of its divisors is an integer number (1612205).

Almost surely, 2^42127616 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 42127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43529535).

42127616 is an abundant number, since it is smaller than the sum of its proper divisors (44931454).

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

42127616 is an frugal number, since it uses more digits than its factorization.

42127616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 134 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 42127616 is about 6490.5790188549. The cubic root of 42127616 is about 347.9543693198.

The spelling of 42127616 in words is "forty-two million, one hundred twenty-seven thousand, six hundred sixteen".