983680 has 64 divisors (see below), whose sum is σ = 2478600. Its totient is φ = 372736.

The previous prime is 983659. The next prime is 983699. The reversal of 983680 is 86389.

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 107584 = 936^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18534 + ... + 18586.

2⁹⁸³⁶⁸⁰ 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 983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239300).

983680 is an abundant number, since it is smaller than the sum of its proper divisors (1494920).

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

983680 is a wasteful number, since it uses less digits than its factorization.

983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 983680 is about 991.8064327277. The cubic root of 983680 is about 99.4530135130.

The spelling of 983680 in words is "nine hundred eighty-three thousand, six hundred eighty".