9082080 has 288 divisors, whose sum is σ = 38211264. Its totient is φ = 1916928.

The previous prime is 9082069. The next prime is 9082081. The reversal of 9082080 is 802809.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9082081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171334 + ... + 171386.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

Almost surely, 2^9082080 is an apocalyptic number.

9082080 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 9082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632).

9082080 is an abundant number, since it is smaller than the sum of its proper divisors (29129184).

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

9082080 is a wasteful number, since it uses less digits than its factorization.

9082080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

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

The square root of 9082080 is about 3013.6489510227. The cubic root of 9082080 is about 208.6388151381.

Adding to 9082080 its reverse (802809), we get a palindrome (9884889).

The spelling of 9082080 in words is "nine million, eighty-two thousand, eighty".