8106658560 has 1728 divisors, whose sum is σ = 40712555520. Its totient is φ = 1433272320.

The previous prime is 8106658493. The next prime is 8106658577. The reversal of 8106658560 is 658566018.

8106658560 is a `hidden beast` number, since 8 + 1 + 0 + 6 + 6 + 585 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219098862 + ... + 219098898.

Almost surely, 2^8106658560 is an apocalyptic number.

8106658560 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 8106658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356277760).

8106658560 is an abundant number, since it is smaller than the sum of its proper divisors (32605896960).

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

8106658560 is a wasteful number, since it uses less digits than its factorization.

8106658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

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

The square root of 8106658560 is about 90036.9844008561. The cubic root of 8106658560 is about 2008.8490031615.

It can be divided in two parts, 8106 and 658560, that added together give a palindrome (666666).

The spelling of 8106658560 in words is "eight billion, one hundred six million, six hundred fifty-eight thousand, five hundred sixty".