99338800 has 120 divisors (see below), whose sum is σ = 264036672. Its totient is φ = 35616000.

The previous prime is 99338791. The next prime is 99338809. The reversal of 99338800 is 883399.

It is an interprime number because it is at equal distance from previous prime (99338791) and next prime (99338809).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99338809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470695 + ... + 470905.

Almost surely, 2^99338800 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 99338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132018336).

99338800 is an abundant number, since it is smaller than the sum of its proper divisors (164697872).

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

99338800 is a wasteful number, since it uses less digits than its factorization.

99338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 99338800 is about 9966.8851704030. The cubic root of 99338800 is about 463.1336141578.

It can be divided in two parts, 993 and 38800, that added together give a palindrome (39793).

The spelling of 99338800 in words is "ninety-nine million, three hundred thirty-eight thousand, eight hundred".