99168000 has 144 divisors (see below), whose sum is σ = 329705376. Its totient is φ = 26419200.

The previous prime is 99167947. The next prime is 99168067. The reversal of 99168000 is 86199.

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 15 ways as a sum of consecutive naturals, for example, 95484 + ... + 96516.

Almost surely, 2^99168000 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 99168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164852688).

99168000 is an abundant number, since it is smaller than the sum of its proper divisors (230537376).

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

99168000 is a wasteful number, since it uses less digits than its factorization.

99168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 99168000 is about 9958.3131101608. The cubic root of 99168000 is about 462.8680294432.

The spelling of 99168000 in words is "ninety-nine million, one hundred sixty-eight thousand".