8000487936 has 600 divisors, whose sum is σ = 28899864576. Its totient is φ = 2194698240.

The previous prime is 8000487907. The next prime is 8000487941. The reversal of 8000487936 is 6397840008.

It is a happy number.

8000487936 is a `hidden beast` number, since 80 + 0 + 0 + 487 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8000487891 and 8000487900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 62995905 + ... + 62996031.

Almost surely, 2^8000487936 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 8000487936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449932288).

8000487936 is an abundant number, since it is smaller than the sum of its proper divisors (20899376640).

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

8000487936 is a wasteful number, since it uses less digits than its factorization.

8000487936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8000487936 is about 89445.4467035634. The cubic root of 8000487936 is about 2000.0406605067.

The spelling of 8000487936 in words is "eight billion, four hundred eighty-seven thousand, nine hundred thirty-six".