981684 has 72 divisors (see below), whose sum is σ = 2821728. Its totient is φ = 285120.

The previous prime is 981683. The next prime is 981691. The reversal of 981684 is 486189.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 981684.

It is not an unprimeable number, because it can be changed into a prime (981683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14619 + ... + 14685.

2⁹⁸¹⁶⁸⁴ 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 981684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410864).

981684 is an abundant number, since it is smaller than the sum of its proper divisors (1840044).

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

981684 is a wasteful number, since it uses less digits than its factorization.

981684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 981684 is about 990.7996770286. The cubic root of 981684 is about 99.3857007582.

The spelling of 981684 in words is "nine hundred eighty-one thousand, six hundred eighty-four".