89011200 has 264 divisors, whose sum is σ = 314746720. Its totient is φ = 22118400.

The previous prime is 89011193. The next prime is 89011207. The reversal of 89011200 is 211098.

It is an interprime number because it is at equal distance from previous prime (89011193) and next prime (89011207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89011207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459170 + ... + 1459230.

Almost surely, 2^89011200 is an apocalyptic number.

89011200 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 89011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157373360).

89011200 is an abundant number, since it is smaller than the sum of its proper divisors (225735520).

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

89011200 is a wasteful number, since it uses less digits than its factorization.

89011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 89011200 is about 9434.5747121956. The cubic root of 89011200 is about 446.4932372916.

Adding to 89011200 its reverse (211098), we get a palindrome (89222298).

It can be divided in two parts, 8901 and 1200, that added together give a palindrome (10101).

The spelling of 89011200 in words is "eighty-nine million, eleven thousand, two hundred".