982080 has 168 divisors, whose sum is σ = 3803904. Its totient is φ = 230400.

The previous prime is 982067. The next prime is 982087. The reversal of 982080 is 80289.

982080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 991²-1.

It is a super-2 number, since 2×982080² = 1928962252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982087) by changing a digit.

982080 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 23 ways as a sum of consecutive naturals, for example, 31665 + ... + 31695.

2⁹⁸²⁰⁸⁰ is an apocalyptic number.

982080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901952).

982080 is an abundant number, since it is smaller than the sum of its proper divisors (2821824).

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

982080 is a wasteful number, since it uses less digits than its factorization.

982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 982080 is about 990.9994954590. Note that the first 3 decimals coincide. The cubic root of 982080 is about 99.3990626434.

It can be divided in two parts, 9 and 82080, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 982080 in words is "nine hundred eighty-two thousand, eighty".