99968600 has 48 divisors (see below), whose sum is σ = 236837520. Its totient is φ = 39228800.

The previous prime is 99968599. The next prime is 99968611. The reversal of 99968600 is 686999.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5885 + ... + 15315.

It is an arithmetic number, because the mean of its divisors is an integer number (4934115).

Almost surely, 2^99968600 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 99968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118418760).

99968600 is an abundant number, since it is smaller than the sum of its proper divisors (136868920).

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

99968600 is a wasteful number, since it uses less digits than its factorization.

99968600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The square root of 99968600 is about 9998.4298767356. The cubic root of 99968600 is about 464.1102963124.

The spelling of 99968600 in words is "ninety-nine million, nine hundred sixty-eight thousand, six hundred".