99748800 has 168 divisors, whose sum is σ = 363778800. Its totient is φ = 26588160.

The previous prime is 99748787. The next prime is 99748811. The reversal of 99748800 is 884799.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42046 + ... + 44354.

It is an arithmetic number, because the mean of its divisors is an integer number (2165350).

Almost surely, 2^99748800 is an apocalyptic number.

99748800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181889400).

99748800 is an abundant number, since it is smaller than the sum of its proper divisors (264030000).

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

99748800 is a wasteful number, since it uses less digits than its factorization.

99748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 99748800 is about 9987.4321023975. The cubic root of 99748800 is about 463.7699017670.

The spelling of 99748800 in words is "ninety-nine million, seven hundred forty-eight thousand, eight hundred".