986688 has 56 divisors (see below), whose sum is σ = 2905760. Its totient is φ = 328320.

The previous prime is 986659. The next prime is 986693. The reversal of 986688 is 886689.

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

Its product of digits (165888) is a multiple of the sum of its prime divisors (576).

It is an unprimeable number.

986688 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 7 ways as a sum of consecutive naturals, for example, 1443 + ... + 2013.

2⁹⁸⁶⁶⁸⁸ 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 986688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452880).

986688 is an abundant number, since it is smaller than the sum of its proper divisors (1919072).

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

986688 is a wasteful number, since it uses less digits than its factorization.

986688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 576 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 986688 is about 993.3217001556. The cubic root of 986688 is about 99.5542829817.

Subtracting from 986688 its reverse (886689), we obtain a palindrome (99999).

It can be divided in two parts, 98 and 6688, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 986688 in words is "nine hundred eighty-six thousand, six hundred eighty-eight".