980580 has 48 divisors (see below), whose sum is σ = 2802240. Its totient is φ = 256128.

The previous prime is 980579. The next prime is 980587. The reversal of 980580 is 85089.

It is a super-3 number, since 3×980580³ = 2828592255633336000, which contains 333 as substring.

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

It is a plaindrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 980580.

It is not an unprimeable number, because it can be changed into a prime (980587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3402 + ... + 3678.

It is an arithmetic number, because the mean of its divisors is an integer number (58380).

2⁹⁸⁰⁵⁸⁰ 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 980580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401120).

980580 is an abundant number, since it is smaller than the sum of its proper divisors (1821660).

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

980580 is a wasteful number, since it uses less digits than its factorization.

980580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 980580 is about 990.2423945681. The cubic root of 980580 is about 99.3484304586.

The spelling of 980580 in words is "nine hundred eighty thousand, five hundred eighty".