982656 has 48 divisors (see below), whose sum is σ = 2831010. Its totient is φ = 327168.

The previous prime is 982643. The next prime is 982687. The reversal of 982656 is 656289.

It can be written as a sum of positive squares in only one way, i.e., 968256 + 14400 = 984^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×982656² = 1931225628672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 982656.

It is an unprimeable number.

982656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 726 + ... + 1578.

2⁹⁸²⁶⁵⁶ is an apocalyptic number.

982656 is a gapful number since it is divisible by the number (96) 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 982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415505).

982656 is an abundant number, since it is smaller than the sum of its proper divisors (1848354).

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

982656 is a wasteful number, since it uses less digits than its factorization.

982656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 858 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 982656 is about 991.2900685470. The cubic root of 982656 is about 99.4184917023.

The spelling of 982656 in words is "nine hundred eighty-two thousand, six hundred fifty-six".