983580 has 72 divisors (see below), whose sum is σ = 3012912. Its totient is φ = 239616.

The previous prime is 983579. The next prime is 983581. The reversal of 983580 is 85389.

983580 = 41² + 42² + ... + 144².

It is an interprime number because it is at equal distance from previous prime (983579) and next prime (983581).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10092 + ... + 10188.

It is an arithmetic number, because the mean of its divisors is an integer number (41846).

2⁹⁸³⁵⁸⁰ 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 983580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506456).

983580 is an abundant number, since it is smaller than the sum of its proper divisors (2029332).

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

983580 is a wasteful number, since it uses less digits than its factorization.

983580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 983580 is about 991.7560183836. The cubic root of 983580 is about 99.4496432983.

The spelling of 983580 in words is "nine hundred eighty-three thousand, five hundred eighty".