8135061660 has 288 divisors, whose sum is σ = 29389651200. Its totient is φ = 1868106240.

The previous prime is 8135061607. The next prime is 8135061661. The reversal of 8135061660 is 661605318.

It is a happy number.

8135061660 is a `hidden beast` number, since 8 + 1 + 35 + 0 + 616 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8135061661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1011736 + ... + 1019744.

It is an arithmetic number, because the mean of its divisors is an integer number (102047400).

Almost surely, 2^8135061660 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 8135061660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694825600).

8135061660 is an abundant number, since it is smaller than the sum of its proper divisors (21254589540).

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

8135061660 is a wasteful number, since it uses less digits than its factorization.

8135061660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063 (or 8049 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8135061660 is about 90194.5766662276. The cubic root of 8135061660 is about 2011.1923867342.

Adding to 8135061660 its reverse (661605318), we get a palindrome (8796666978).

The spelling of 8135061660 in words is "eight billion, one hundred thirty-five million, sixty-one thousand, six hundred sixty".