986100 has 72 divisors (see below), whose sum is σ = 3020640. Its totient is φ = 247680.

The previous prime is 986071. The next prime is 986101. The reversal of 986100 is 1689.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986101) by changing a digit.

986100 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 23 ways as a sum of consecutive naturals, for example, 5614 + ... + 5786.

2⁹⁸⁶¹⁰⁰ 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 986100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510320).

986100 is an abundant number, since it is smaller than the sum of its proper divisors (2034540).

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

986100 is a wasteful number, since it uses less digits than its factorization.

986100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 986100 is about 993.0256794263. The cubic root of 986100 is about 99.5345031558.

Adding to 986100 its reverse (1689), we get a palindrome (987789).

The spelling of 986100 in words is "nine hundred eighty-six thousand, one hundred".