889344 has 60 divisors (see below), whose sum is σ = 2580006. Its totient is φ = 294912.

The previous prime is 889337. The next prime is 889349. The reversal of 889344 is 443988.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 57600 = 912^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 889299 and 889308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889349) by changing a digit.

889344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4512 + ... + 4704.

2⁸⁸⁹³⁴⁴ 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 889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290003).

889344 is an abundant number, since it is smaller than the sum of its proper divisors (1690662).

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

889344 is a wasteful number, since it uses less digits than its factorization.

889344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 889344 is about 943.0503698106. The cubic root of 889344 is about 96.1663781492.

The spelling of 889344 in words is "eight hundred eighty-nine thousand, three hundred forty-four".