986809000 has 64 divisors (see below), whose sum is σ = 2321551440. Its totient is φ = 392601600.

The previous prime is 986808967. The next prime is 986809007. The reversal of 986809000 is 908689.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 85488516 + 901320484 = 9246^2 + 30022^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (986809007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190444 + ... + 195556.

Almost surely, 2^986809000 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 986809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160775720).

986809000 is an abundant number, since it is smaller than the sum of its proper divisors (1334742440).

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

986809000 is a wasteful number, since it uses less digits than its factorization.

986809000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 986809000 is about 31413.5161992414. The cubic root of 986809000 is about 995.5835234497.

The spelling of 986809000 in words is "nine hundred eighty-six million, eight hundred nine thousand".