889100 has 36 divisors (see below), whose sum is σ = 2046744. Its totient is φ = 334080.

The previous prime is 889087. The next prime is 889123. The reversal of 889100 is 1988.

It is a self number, because there is not a number n which added to its sum of digits gives 889100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1439 + ... + 1961.

It is an arithmetic number, because the mean of its divisors is an integer number (56854).

2⁸⁸⁹¹⁰⁰ 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 889100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023372).

889100 is an abundant number, since it is smaller than the sum of its proper divisors (1157644).

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

889100 is a wasteful number, since it uses less digits than its factorization.

889100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 889100 is about 942.9209935090. The cubic root of 889100 is about 96.1575826240.

Multiplying 889100 by its sum of digits (26), we get a triangular number (23116600 = T₆₇₉₉).

It can be divided in two parts, 889 and 100, that added together give a palindrome (989).

The spelling of 889100 in words is "eight hundred eighty-nine thousand, one hundred".