99829800 has 384 divisors, whose sum is σ = 416640000. Its totient is φ = 21461760.

The previous prime is 99829783. The next prime is 99829801. The reversal of 99829800 is 892899.

It is a super-4 number, since 4×99829800⁴ (a number of 33 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (99829801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718131 + ... + 718269.

It is an arithmetic number, because the mean of its divisors is an integer number (1085000).

Almost surely, 2^99829800 is an apocalyptic number.

99829800 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 99829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320000).

99829800 is an abundant number, since it is smaller than the sum of its proper divisors (316810200).

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

99829800 is a wasteful number, since it uses less digits than its factorization.

99829800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 99829800 is about 9991.4863759102. The cubic root of 99829800 is about 463.8954010159.

The spelling of 99829800 in words is "ninety-nine million, eight hundred twenty-nine thousand, eight hundred".