8000001688 has 16 divisors (see below), whose sum is σ = 17142860880. Its totient is φ = 3428572128.

The previous prime is 8000001679. The next prime is 8000001689. The reversal of 8000001688 is 8861000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000001689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71428531 + ... + 71428642.

It is an arithmetic number, because the mean of its divisors is an integer number (1071428805).

Almost surely, 2^8000001688 is an apocalyptic number.

It is an amenable number.

8000001688 is an abundant number, since it is smaller than the sum of its proper divisors (9142859192).

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

8000001688 is a wasteful number, since it uses less digits than its factorization.

8000001688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142857186 (or 142857182 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 8000001688 is about 89442.7285361980. The cubic root of 8000001688 is about 2000.0001406667. Note that the first 3 decimals are identical.

The spelling of 8000001688 in words is "eight billion, one thousand, six hundred eighty-eight".