8106605856 has 144 divisors (see below), whose sum is σ = 24719385600. Its totient is φ = 2510936064.

The previous prime is 8106605849. The next prime is 8106605861. The reversal of 8106605856 is 6585066018.

8106605856 is a `hidden beast` number, since 8 + 1 + 0 + 6 + 60 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376305 + ... + 397263.

It is an arithmetic number, because the mean of its divisors is an integer number (171662400).

Almost surely, 2^8106605856 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 8106605856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359692800).

8106605856 is an abundant number, since it is smaller than the sum of its proper divisors (16612779744).

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

8106605856 is a wasteful number, since it uses less digits than its factorization.

8106605856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21071 (or 21060 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8106605856 is about 90036.6917206535. The cubic root of 8106605856 is about 2008.8446497605.

The spelling of 8106605856 in words is "eight billion, one hundred six million, six hundred five thousand, eight hundred fifty-six".