986580 has 144 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 217728.

The previous prime is 986569. The next prime is 986581. The reversal of 986580 is 85689.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34006 + ... + 34034.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2⁹⁸⁶⁵⁸⁰ is an apocalyptic number.

986580 is a gapful number since it is divisible by the number (90) 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 986580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834560).

986580 is an abundant number, since it is smaller than the sum of its proper divisors (2682540).

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

986580 is a wasteful number, since it uses less digits than its factorization.

986580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 986580 is about 993.2673356151. The cubic root of 986580 is about 99.5506505417.

The spelling of 986580 in words is "nine hundred eighty-six thousand, five hundred eighty".