83127616 has 112 divisors (see below), whose sum is σ = 200729088. Its totient is φ = 33638400.

The previous prime is 83127607. The next prime is 83127661. The reversal of 83127616 is 61672138.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283566 + ... + 283858.

It is an arithmetic number, because the mean of its divisors is an integer number (1792224).

Almost surely, 2^83127616 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 83127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100364544).

83127616 is an abundant number, since it is smaller than the sum of its proper divisors (117601472).

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

83127616 is a wasteful number, since it uses less digits than its factorization.

83127616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 83127616 is about 9117.4347269394. The cubic root of 83127616 is about 436.4305149178.

The spelling of 83127616 in words is "eighty-three million, one hundred twenty-seven thousand, six hundred sixteen".