89533168 has 40 divisors (see below), whose sum is σ = 183381120. Its totient is φ = 42229440.

The previous prime is 89533139. The next prime is 89533189. The reversal of 89533168 is 86133598.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 94071 + ... + 95017.

It is an arithmetic number, because the mean of its divisors is an integer number (4584528).

Almost surely, 2^89533168 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 89533168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91690560).

89533168 is an abundant number, since it is smaller than the sum of its proper divisors (93847952).

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

89533168 is a wasteful number, since it uses less digits than its factorization.

89533168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1279 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 89533168 is about 9462.1967851023. The cubic root of 89533168 is about 447.3642928805.

It can be divided in two parts, 8953 and 3168, that added together give a palindrome (12121).

The spelling of 89533168 in words is "eighty-nine million, five hundred thirty-three thousand, one hundred sixty-eight".