83688176 has 80 divisors (see below), whose sum is σ = 193320960. Its totient is φ = 34594560.

The previous prime is 83688173. The next prime is 83688239. The reversal of 83688176 is 67188638.

It is a self number, because there is not a number n which added to its sum of digits gives 83688176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83688173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180521 + ... + 180983.

It is an arithmetic number, because the mean of its divisors is an integer number (2416512).

Almost surely, 2^83688176 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 83688176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96660480).

83688176 is an abundant number, since it is smaller than the sum of its proper divisors (109632784).

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

83688176 is a wasteful number, since it uses less digits than its factorization.

83688176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 83688176 is about 9148.1241793058. The cubic root of 83688176 is about 437.4093217239.

The spelling of 83688176 in words is "eighty-three million, six hundred eighty-eight thousand, one hundred seventy-six".