889200 has 180 divisors, whose sum is σ = 3498040. Its totient is φ = 207360.

The previous prime is 889177. The next prime is 889211. The reversal of 889200 is 2988.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46791 + ... + 46809.

2⁸⁸⁹²⁰⁰ is an apocalyptic number.

889200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749020).

889200 is an abundant number, since it is smaller than the sum of its proper divisors (2608840).

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

889200 is a wasteful number, since it uses less digits than its factorization.

889200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 889200 is about 942.9740187301. The cubic root of 889200 is about 96.1611875420.

It can be divided in two parts, 889 and 200, that added together give a square (1089 = 33²).

The spelling of 889200 in words is "eight hundred eighty-nine thousand, two hundred".