99384000 has 224 divisors, whose sum is σ = 339498432. Its totient is φ = 25600000.

The previous prime is 99383993. The next prime is 99384001. The reversal of 99384000 is 48399.

It is not an unprimeable number, because it can be changed into a prime (99384001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983950 + ... + 984050.

It is an arithmetic number, because the mean of its divisors is an integer number (1515618).

Almost surely, 2^99384000 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 99384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169749216).

99384000 is an abundant number, since it is smaller than the sum of its proper divisors (240114432).

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

99384000 is a wasteful number, since it uses less digits than its factorization.

99384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 99384000 is about 9969.1524213446. The cubic root of 99384000 is about 463.2038467529.

The spelling of 99384000 in words is "ninety-nine million, three hundred eighty-four thousand".