8082360 has 192 divisors, whose sum is σ = 31056480. Its totient is φ = 1797120.

The previous prime is 8082359. The next prime is 8082379. The reversal of 8082360 is 632808.

8082360 = T₅₁ + T₅₂ + ... + T₃₆₄.

8082360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51402 + ... + 51558.

Almost surely, 2^8082360 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 8082360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528240).

8082360 is an abundant number, since it is smaller than the sum of its proper divisors (22974120).

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

8082360 is a wasteful number, since it uses less digits than its factorization.

8082360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8082360 is about 2842.9491729540. The cubic root of 8082360 is about 200.6839914452.

The spelling of 8082360 in words is "eight million, eighty-two thousand, three hundred sixty".