986900 has 36 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 386400.

The previous prime is 986857. The next prime is 986903. The reversal of 986900 is 9689.

It is a happy number.

986900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×986900² = 1947943220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986903) by changing a digit.

986900 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 11 ways as a sum of consecutive naturals, for example, 7031 + ... + 7169.

It is an arithmetic number, because the mean of its divisors is an integer number (60760).

2⁹⁸⁶⁹⁰⁰ 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 986900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

986900 is an abundant number, since it is smaller than the sum of its proper divisors (1200460).

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

986900 is a wasteful number, since it uses less digits than its factorization.

986900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 986900 is about 993.4284070833. The cubic root of 986900 is about 99.5614125561.

The spelling of 986900 in words is "nine hundred eighty-six thousand, nine hundred".