981968 has 20 divisors (see below), whose sum is σ = 2049348. Its totient is φ = 453120.

The previous prime is 981961. The next prime is 981979. The reversal of 981968 is 869189.

It can be written as a sum of positive squares in 2 ways, for example, as 322624 + 659344 = 568^2 + 812^2 .

It is a super-2 number, since 2×981968² = 1928522306048, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981961) 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 3 ways as a sum of consecutive naturals, for example, 2153 + ... + 2568.

2⁹⁸¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

981968 is an abundant number, since it is smaller than the sum of its proper divisors (1067380).

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

981968 is a wasteful number, since it uses less digits than its factorization.

981968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4736 counting only the distinct ones).

The product of its digits is 31104, while the sum is 41.

The square root of 981968 is about 990.9429852418. The cubic root of 981968 is about 99.3952838887.

The spelling of 981968 in words is "nine hundred eighty-one thousand, nine hundred sixty-eight".