986000 has 80 divisors (see below), whose sum is σ = 2611440. Its totient is φ = 358400.

The previous prime is 985997. The next prime is 986023. The reversal of 986000 is 689.

It can be written as a sum of positive squares in 8 ways, for example, as 183184 + 802816 = 428^2 + 896^2 .

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 986000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33986 + ... + 34014.

It is an arithmetic number, because the mean of its divisors is an integer number (32643).

2⁹⁸⁶⁰⁰⁰ 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 986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305720).

986000 is an abundant number, since it is smaller than the sum of its proper divisors (1625440).

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

986000 is a wasteful number, since it uses less digits than its factorization.

986000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 986000 is about 992.9753269845. The cubic root of 986000 is about 99.5311384576.

Adding to 986000 its reverse (689), we get a palindrome (986689).

The spelling of 986000 in words is "nine hundred eighty-six thousand".