83688100 has 18 divisors (see below), whose sum is σ = 181603394. Its totient is φ = 33475200.

The previous prime is 83688083. The next prime is 83688107. The reversal of 83688100 is 188638.

It can be written as a sum of positive squares in 3 ways, for example, as 4691556 + 78996544 = 2166^2 + 8888^2 .

It is a super-2 number, since 2×83688100² = 14007396163220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83688107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 418341 + ... + 418540.

Almost surely, 2^83688100 is an apocalyptic number.

It is an amenable number.

83688100 is an abundant number, since it is smaller than the sum of its proper divisors (97915294).

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

83688100 is a wasteful number, since it uses less digits than its factorization.

83688100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836895 (or 836888 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 83688100 is about 9148.1200254479. The cubic root of 83688100 is about 437.4091893152.

The spelling of 83688100 in words is "eighty-three million, six hundred eighty-eight thousand, one hundred".