99888800 has 72 divisors (see below), whose sum is σ = 266045472. Its totient is φ = 36320000.

The previous prime is 99888791. The next prime is 99888809. The reversal of 99888800 is 888899.

It is an interprime number because it is at equal distance from previous prime (99888791) and next prime (99888809).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99888809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3125 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (3695076).

Almost surely, 2^99888800 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 99888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133022736).

99888800 is an abundant number, since it is smaller than the sum of its proper divisors (166156672).

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

99888800 is a wasteful number, since it uses less digits than its factorization.

99888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 50.

The square root of 99888800 is about 9994.4384534600. The cubic root of 99888800 is about 463.9867713232.

It can be divided in two parts, 998 and 88800, that added together give a palindrome (89798).

The spelling of 99888800 in words is "ninety-nine million, eight hundred eighty-eight thousand, eight hundred".