89191200 has 144 divisors (see below), whose sum is σ = 331853760. Its totient is φ = 20382720.

The previous prime is 89191199. The next prime is 89191243. The reversal of 89191200 is 219198.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14146 + ... + 19454.

It is an arithmetic number, because the mean of its divisors is an integer number (2304540).

Almost surely, 2^89191200 is an apocalyptic number.

89191200 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 89191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165926880).

89191200 is an abundant number, since it is smaller than the sum of its proper divisors (242662560).

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

89191200 is a wasteful number, since it uses less digits than its factorization.

89191200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5339 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 89191200 is about 9444.1092750984. The cubic root of 89191200 is about 446.7940034466.

The spelling of 89191200 in words is "eighty-nine million, one hundred ninety-one thousand, two hundred".