889120 has 24 divisors (see below), whose sum is σ = 2100924. Its totient is φ = 355584.

The previous prime is 889087. The next prime is 889123. The reversal of 889120 is 21988.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 35344 = 924^2 + 188^2 .

It is not an unprimeable number, because it can be changed into a prime (889123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2619 + ... + 2938.

2⁸⁸⁹¹²⁰ is an apocalyptic number.

889120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

889120 is an abundant number, since it is smaller than the sum of its proper divisors (1211804).

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

889120 is a wasteful number, since it uses less digits than its factorization.

889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 889120 is about 942.9315987918. The cubic root of 889120 is about 96.1583036293.

It can be divided in two parts, 8891 and 20, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 889120 in words is "eight hundred eighty-nine thousand, one hundred twenty".