89112000 has 224 divisors, whose sum is σ = 304312320. Its totient is φ = 22963200.

The previous prime is 89111999. The next prime is 89112013. The reversal of 89112000 is 21198.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127961 + ... + 1128039.

Almost surely, 2^89112000 is an apocalyptic number.

89112000 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 89112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

89112000 is an abundant number, since it is smaller than the sum of its proper divisors (215200320).

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

89112000 is a wasteful number, since it uses less digits than its factorization.

89112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

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

The square root of 89112000 is about 9439.9152538569. The cubic root of 89112000 is about 446.6617162393.

Adding to 89112000 its reverse (21198), we get a palindrome (89133198).

The spelling of 89112000 in words is "eighty-nine million, one hundred twelve thousand".