986112 has 66 divisors (see below), whose sum is σ = 2873988. Its totient is φ = 325632.

The previous prime is 986101. The next prime is 986113. The reversal of 986112 is 211689.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (986113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9163 + ... + 9269.

2⁹⁸⁶¹¹² 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 986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436994).

986112 is an abundant number, since it is smaller than the sum of its proper divisors (1887876).

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

986112 is a wasteful number, since it uses less digits than its factorization.

986112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 986112 is about 993.0317215477. The cubic root of 986112 is about 99.5349069043.

The spelling of 986112 in words is "nine hundred eighty-six thousand, one hundred twelve".