89598144 has 56 divisors (see below), whose sum is σ = 237825280. Its totient is φ = 29769984.

The previous prime is 89598101. The next prime is 89598163. The reversal of 89598144 is 44189598.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 89598093 and 89598102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83757 + ... + 84819.

It is an arithmetic number, because the mean of its divisors is an integer number (4246880).

Almost surely, 2^89598144 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 89598144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118912640).

89598144 is an abundant number, since it is smaller than the sum of its proper divisors (148227136).

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

89598144 is a wasteful number, since it uses less digits than its factorization.

89598144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1507 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 89598144 is about 9465.6296145581. The cubic root of 89598144 is about 447.4724870989.

The spelling of 89598144 in words is "eighty-nine million, five hundred ninety-eight thousand, one hundred forty-four".