83127060 has 180 divisors, whose sum is σ = 275413908. Its totient is φ = 20984832.

The previous prime is 83127007. The next prime is 83127061. The reversal of 83127060 is 6072138.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 49533444 = 5796^2 + 7038^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (83127061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 856932 + ... + 857028.

Almost surely, 2^83127060 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 83127060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137706954).

83127060 is an abundant number, since it is smaller than the sum of its proper divisors (192286848).

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

83127060 is a wasteful number, since it uses less digits than its factorization.

83127060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

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

The square root of 83127060 is about 9117.4042358557. The cubic root of 83127060 is about 436.4295418921.

Adding to 83127060 its reverse (6072138), we get a palindrome (89199198).

The spelling of 83127060 in words is "eighty-three million, one hundred twenty-seven thousand, sixty".