89198200 has 192 divisors, whose sum is σ = 265608000. Its totient is φ = 27256320.

The previous prime is 89198183. The next prime is 89198227. The reversal of 89198200 is 289198.

It is a self number, because there is not a number n which added to its sum of digits gives 89198200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3075786 + ... + 3075814.

It is an arithmetic number, because the mean of its divisors is an integer number (1383375).

Almost surely, 2^89198200 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 89198200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

89198200 is an abundant number, since it is smaller than the sum of its proper divisors (176409800).

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

89198200 is a wasteful number, since it uses less digits than its factorization.

89198200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 89198200 is about 9444.4798692146. The cubic root of 89198200 is about 446.8056917305.

It can be divided in two parts, 89198 and 200, that added together give a palindrome (89398).

The spelling of 89198200 in words is "eighty-nine million, one hundred ninety-eight thousand, two hundred".