89338144 has 48 divisors (see below), whose sum is σ = 202910400. Its totient is φ = 37926144.

The previous prime is 89338127. The next prime is 89338147. The reversal of 89338144 is 44183398.

It is a junction number, because it is equal to n+sod(n) for n = 89338097 and 89338106.

It is not an unprimeable number, because it can be changed into a prime (89338147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22587 + ... + 26245.

It is an arithmetic number, because the mean of its divisors is an integer number (4227300).

Almost surely, 2^89338144 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 89338144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101455200).

89338144 is an abundant number, since it is smaller than the sum of its proper divisors (113572256).

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

89338144 is a wasteful number, since it uses less digits than its factorization.

89338144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3777 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 89338144 is about 9451.8857377774. The cubic root of 89338144 is about 447.0392356960.

The spelling of 89338144 in words is "eighty-nine million, three hundred thirty-eight thousand, one hundred forty-four".