83971160 has 256 divisors, whose sum is σ = 261273600. Its totient is φ = 23519232.

The previous prime is 83971141. The next prime is 83971171. The reversal of 83971160 is 6117938.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 83971160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1423211 + ... + 1423269.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^83971160 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 83971160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

83971160 is an abundant number, since it is smaller than the sum of its proper divisors (177302440).

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

83971160 is a wasteful number, since it uses less digits than its factorization.

83971160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 83971160 is about 9163.5779038539. The cubic root of 83971160 is about 437.9017870881.

The spelling of 83971160 in words is "eighty-three million, nine hundred seventy-one thousand, one hundred sixty".