983280 has 80 divisors (see below), whose sum is σ = 3240864. Its totient is φ = 245760.

The previous prime is 983267. The next prime is 983299. The reversal of 983280 is 82389.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

983280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3960 + ... + 4200.

2⁹⁸³²⁸⁰ 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 983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620432).

983280 is an abundant number, since it is smaller than the sum of its proper divisors (2257584).

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

983280 is a wasteful number, since it uses less digits than its factorization.

983280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 983280 is about 991.6047599724. The cubic root of 983280 is about 99.4395312834.

The spelling of 983280 in words is "nine hundred eighty-three thousand, two hundred eighty".