980084 has 48 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 376320.

The previous prime is 980081. The next prime is 980107. The reversal of 980084 is 480089.

980084 = 25² + 26² + ... + 143².

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 980084.

It is not an unprimeable number, because it can be changed into a prime (980081) 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, 13769 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2⁹⁸⁰⁰⁸⁴ 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 980084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

980084 is an abundant number, since it is smaller than the sum of its proper divisors (1197196).

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

980084 is a wasteful number, since it uses less digits than its factorization.

980084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 980084 is about 989.9919191589. The cubic root of 980084 is about 99.3316767237.

The spelling of 980084 in words is "nine hundred eighty thousand, eighty-four".