889680 has 80 divisors (see below), whose sum is σ = 3017664. Its totient is φ = 215040.

The previous prime is 889673. The next prime is 889687. The reversal of 889680 is 86988.

It is an interprime number because it is at equal distance from previous prime (889673) and next prime (889687).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889687) by changing a digit.

889680 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, 2472 + ... + 2808.

2⁸⁸⁹⁶⁸⁰ is an apocalyptic number.

889680 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 889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508832).

889680 is an abundant number, since it is smaller than the sum of its proper divisors (2127984).

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

889680 is a wasteful number, since it uses less digits than its factorization.

889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 889680 is about 943.2284982972. The cubic root of 889680 is about 96.1784873872.

The spelling of 889680 in words is "eight hundred eighty-nine thousand, six hundred eighty".