89982200 has 96 divisors (see below), whose sum is σ = 260876160. Its totient is φ = 28041600.

The previous prime is 89982199. The next prime is 89982227. The reversal of 89982200 is 228998.

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 23 ways as a sum of consecutive naturals, for example, 12479 + ... + 18321.

It is an arithmetic number, because the mean of its divisors is an integer number (2717460).

Almost surely, 2^89982200 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 89982200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130438080).

89982200 is an abundant number, since it is smaller than the sum of its proper divisors (170893960).

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

89982200 is a wasteful number, since it uses less digits than its factorization.

89982200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 89982200 is about 9485.8947917421. The cubic root of 89982200 is about 448.1109286320.

It can be divided in two parts, 89 and 982200, that added together give a palindrome (982289).

The spelling of 89982200 in words is "eighty-nine million, nine hundred eighty-two thousand, two hundred".