99682200 has 144 divisors (see below), whose sum is σ = 339487200. Its totient is φ = 26208000.

The previous prime is 99682199. The next prime is 99682217. The reversal of 99682200 is 228699.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 141850 + ... + 142550.

It is an arithmetic number, because the mean of its divisors is an integer number (2357550).

Almost surely, 2^99682200 is an apocalyptic number.

99682200 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 99682200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169743600).

99682200 is an abundant number, since it is smaller than the sum of its proper divisors (239805000).

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

99682200 is a wasteful number, since it uses less digits than its factorization.

99682200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 99682200 is about 9984.0973552946. The cubic root of 99682200 is about 463.6666625895. Note that the first 5 decimals are identical.

The spelling of 99682200 in words is "ninety-nine million, six hundred eighty-two thousand, two hundred".