8506680 has 256 divisors, whose sum is σ = 33868800. Its totient is φ = 1658880.

The previous prime is 8506651. The next prime is 8506703. The reversal of 8506680 is 866058.

8506680 = T₂₉ + T₃₀ + ... + T₃₇₀.

8506680 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 63 ways as a sum of consecutive naturals, for example, 207460 + ... + 207500.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 2^8506680 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 8506680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

8506680 is an abundant number, since it is smaller than the sum of its proper divisors (25362120).

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

8506680 is a wasteful number, since it uses less digits than its factorization.

8506680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 8506680 is about 2916.6213329810. The cubic root of 8506680 is about 204.1362027757.

The spelling of 8506680 in words is "eight million, five hundred six thousand, six hundred eighty".