8038991961 has 128 divisors (see below), whose sum is σ = 16424755200. Its totient is φ = 3750209280.

The previous prime is 8038991953. The next prime is 8038991971. The reversal of 8038991961 is 1691998308.

It is not a de Polignac number, because 8038991961 - 2³ = 8038991953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8038991898 and 8038991907.

It is not an unprimeable number, because it can be changed into a prime (8038991971) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 995980 + ... + 1004018.

It is an arithmetic number, because the mean of its divisors is an integer number (128318400).

Almost surely, 2^8038991961 is an apocalyptic number.

It is an amenable number.

8038991961 is an abundant number, since it is smaller than the sum of its proper divisors (8385763239).

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

8038991961 is a wasteful number, since it uses less digits than its factorization.

8038991961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 8038991961 is about 89660.4258354822. The cubic root of 8038991961 is about 2003.2440652586.

It can be divided in two parts, 8038 and 991961, that added together give a palindrome (999999).

The spelling of 8038991961 in words is "eight billion, thirty-eight million, nine hundred ninety-one thousand, nine hundred sixty-one".