89088000 has 224 divisors, whose sum is σ = 306689760. Its totient is φ = 22937600.

The previous prime is 89087981. The next prime is 89088047. The reversal of 89088000 is 88098.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071986 + ... + 3072014.

Almost surely, 2^89088000 is an apocalyptic number.

89088000 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 89088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153344880).

89088000 is an abundant number, since it is smaller than the sum of its proper divisors (217601760).

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

89088000 is an equidigital number, since it uses as much as digits as its factorization.

89088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 89088000 is about 9438.6439704017. The cubic root of 89088000 is about 446.6216137327.

The spelling of 89088000 in words is "eighty-nine million, eighty-eight thousand".