981648 has 60 divisors (see below), whose sum is σ = 2916108. Its totient is φ = 307200.

The previous prime is 981637. The next prime is 981653. The reversal of 981648 is 846189.

It is a happy number.

981648 is a `hidden beast` number, since 9 + 8 + 1 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 898704 + 82944 = 948^2 + 288^2 .

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

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

Its product of digits (13824) is a multiple of the sum of its prime factors (432).

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 2248 + ... + 2648.

2⁹⁸¹⁶⁴⁸ 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 981648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458054).

981648 is an abundant number, since it is smaller than the sum of its proper divisors (1934460).

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

981648 is a wasteful number, since it uses less digits than its factorization.

981648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

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

The square root of 981648 is about 990.7815097185. The cubic root of 981648 is about 99.3844858632.

The spelling of 981648 in words is "nine hundred eighty-one thousand, six hundred forty-eight".