889824 has 96 divisors (see below), whose sum is σ = 2709504. Its totient is φ = 253440.

The previous prime is 889783. The next prime is 889829. The reversal of 889824 is 428988.

It is a happy number.

889824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (36864) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889829) by changing a digit.

889824 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 15 ways as a sum of consecutive naturals, for example, 28689 + ... + 28719.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2⁸⁸⁹⁸²⁴ 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 889824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752).

889824 is an abundant number, since it is smaller than the sum of its proper divisors (1819680).

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

889824 is a wasteful number, since it uses less digits than its factorization.

889824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 889824 is about 943.3048287802. The cubic root of 889824 is about 96.1836761274.

The spelling of 889824 in words is "eight hundred eighty-nine thousand, eight hundred twenty-four".