89585550 has 72 divisors (see below), whose sum is σ = 242022456. Its totient is φ = 23757120.

The previous prime is 89585543. The next prime is 89585569. The reversal of 89585550 is 5558598.

89585550 is a `hidden beast` number, since 8 + 95 + 8 + 5 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 89585496 and 89585505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101712 + ... + 102588.

It is an arithmetic number, because the mean of its divisors is an integer number (3361423).

Almost surely, 2^89585550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89585550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121011228).

89585550 is an abundant number, since it is smaller than the sum of its proper divisors (152436906).

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

89585550 is a wasteful number, since it uses less digits than its factorization.

89585550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The square root of 89585550 is about 9464.9643422466. The cubic root of 89585550 is about 447.4515203976.

The spelling of 89585550 in words is "eighty-nine million, five hundred eighty-five thousand, five hundred fifty".