83684688 has 40 divisors (see below), whose sum is σ = 216578400. Its totient is φ = 27844224.

The previous prime is 83684617. The next prime is 83684701. The reversal of 83684688 is 88648638.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 83684688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32803 + ... + 35261.

It is an arithmetic number, because the mean of its divisors is an integer number (5414460).

Almost surely, 2^83684688 is an apocalyptic number.

It is an amenable number.

83684688 is an abundant number, since it is smaller than the sum of its proper divisors (132893712).

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

83684688 is a wasteful number, since it uses less digits than its factorization.

83684688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3173 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 83684688 is about 9147.9335371438. The cubic root of 83684688 is about 437.4032447806.

The spelling of 83684688 in words is "eighty-three million, six hundred eighty-four thousand, six hundred eighty-eight".