8506080 has 192 divisors, whose sum is σ = 32659200. Its totient is φ = 2050560.

The previous prime is 8506063. The next prime is 8506081. The reversal of 8506080 is 806058.

8506080 is a `hidden beast` number, since 8 + 50 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8506081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47431 + ... + 47609.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^8506080 is an apocalyptic number.

8506080 is a gapful number since it is divisible by the number (80) 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 8506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

8506080 is an abundant number, since it is smaller than the sum of its proper divisors (24153120).

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

8506080 is a wasteful number, since it uses less digits than its factorization.

8506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8506080 is about 2916.5184724256. The cubic root of 8506080 is about 204.1314032299.

The spelling of 8506080 in words is "eight million, five hundred six thousand, eighty".