981603840 has 480 divisors, whose sum is σ = 3900821760. Its totient is φ = 205701120.

The previous prime is 981603811. The next prime is 981603841. The reversal of 981603840 is 48306189.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981603841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31664625 + ... + 31664655.

It is an arithmetic number, because the mean of its divisors is an integer number (8126712).

Almost surely, 2^981603840 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 981603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950410880).

981603840 is an abundant number, since it is smaller than the sum of its proper divisors (2919217920).

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

981603840 is a wasteful number, since it uses less digits than its factorization.

981603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 981603840 is about 31330.5576075499. The cubic root of 981603840 is about 993.8299555144.

The spelling of 981603840 in words is "nine hundred eighty-one million, six hundred three thousand, eight hundred forty".