8720135838 has 80 divisors (see below), whose sum is σ = 19716435024. Its totient is φ = 2880541440.

The previous prime is 8720135819. The next prime is 8720135857. The reversal of 8720135838 is 8385310278.

8720135838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8720135819) and next prime (8720135857).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8720135793 and 8720135802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11518956 + ... + 11519712.

Almost surely, 2^8720135838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8720135838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858217512).

8720135838 is an abundant number, since it is smaller than the sum of its proper divisors (10996299186).

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

8720135838 is a wasteful number, since it uses less digits than its factorization.

8720135838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8720135838 is about 93381.6675691755. The cubic root of 8720135838 is about 2058.2956209051.

The spelling of 8720135838 in words is "eight billion, seven hundred twenty million, one hundred thirty-five thousand, eight hundred thirty-eight".