99688 has 16 divisors (see below), whose sum is σ = 198180. Its totient is φ = 46848.

The previous prime is 99679. The next prime is 99689. The reversal of 99688 is 88699.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 20164 = 282^2 + 142^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 99688.

It is not an unprimeable number, because it can be changed into a prime (99689) by changing a digit.

99688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 231 + ... + 502.

2⁹⁹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

99688 is a deficient number, since it is larger than the sum of its proper divisors (98492).

99688 is a wasteful number, since it uses less digits than its factorization.

99688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 99688 is about 315.7340653145. The cubic root of 99688 is about 46.3675655216.

It can be divided in two parts, 99 and 688, that added together give a palindrome (787).

The spelling of 99688 in words is "ninety-nine thousand, six hundred eighty-eight".