89065200 has 240 divisors, whose sum is σ = 340978176. Its totient is φ = 19430400.

The previous prime is 89065189. The next prime is 89065219. The reversal of 89065200 is 256098.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192970 + ... + 193430.

Almost surely, 2^89065200 is an apocalyptic number.

89065200 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 89065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170489088).

89065200 is an abundant number, since it is smaller than the sum of its proper divisors (251912976).

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

89065200 is a wasteful number, since it uses less digits than its factorization.

89065200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 89065200 is about 9437.4360924989. The cubic root of 89065200 is about 446.5835096797.

The spelling of 89065200 in words is "eighty-nine million, sixty-five thousand, two hundred".