89663200 has 144 divisors (see below), whose sum is σ = 249734016. Its totient is φ = 31116800.

The previous prime is 89663159. The next prime is 89663221. The reversal of 89663200 is 236698.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202179 + ... + 202621.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^89663200 is an apocalyptic number.

89663200 is a gapful number since it is divisible by the number (80) 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 89663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124867008).

89663200 is an abundant number, since it is smaller than the sum of its proper divisors (160070816).

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

89663200 is a wasteful number, since it uses less digits than its factorization.

89663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 89663200 is about 9469.0654237892. The cubic root of 89663200 is about 447.5807621368.

Adding to 89663200 its reverse (236698), we get a palindrome (89899898).

The spelling of 89663200 in words is "eighty-nine million, six hundred sixty-three thousand, two hundred".