89865288 has 112 divisors (see below), whose sum is σ = 266254800. Its totient is φ = 28343520.

The previous prime is 89865283. The next prime is 89865289. The reversal of 89865288 is 88256898.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89865283) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 110403 + ... + 111213.

It is an arithmetic number, because the mean of its divisors is an integer number (2377275).

Almost surely, 2^89865288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89865288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133127400).

89865288 is an abundant number, since it is smaller than the sum of its proper divisors (176389512).

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

89865288 is a wasteful number, since it uses less digits than its factorization.

89865288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 835 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 89865288 is about 9479.7303759126. The cubic root of 89865288 is about 447.9167707844.

The spelling of 89865288 in words is "eighty-nine million, eight hundred sixty-five thousand, two hundred eighty-eight".