13820307606 has 192 divisors, whose sum is σ = 36104140800. Its totient is φ = 3817013760.

The previous prime is 13820307577. The next prime is 13820307619. The reversal of 13820307606 is 60670302831.

It is a happy number.

13820307606 is a `hidden beast` number, since 13 + 8 + 2 + 0 + 30 + 7 + 606 = 666.

It is a super-2 number, since 2×13820307606² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28147021 + ... + 28147511.

It is an arithmetic number, because the mean of its divisors is an integer number (188042400).

Almost surely, 2^13820307606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13820307606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052070400).

13820307606 is an abundant number, since it is smaller than the sum of its proper divisors (22283833194).

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

13820307606 is a wasteful number, since it uses less digits than its factorization.

13820307606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13820307606 in words is "thirteen billion, eight hundred twenty million, three hundred seven thousand, six hundred six".