1688097008 has 80 divisors (see below), whose sum is σ = 3740385600. Its totient is φ = 731148288.

The previous prime is 1688097007. The next prime is 1688097013. The reversal of 1688097008 is 8007908861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688097007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2117666 + ... + 2118462.

It is an arithmetic number, because the mean of its divisors is an integer number (46754820).

Almost surely, 2^1688097008 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 1688097008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870192800).

1688097008 is an abundant number, since it is smaller than the sum of its proper divisors (2052288592).

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

1688097008 is a wasteful number, since it uses less digits than its factorization.

1688097008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 47.

The square root of 1688097008 is about 41086.4577202757. The cubic root of 1688097008 is about 1190.6911711081.

The spelling of 1688097008 in words is "one billion, six hundred eighty-eight million, ninety-seven thousand, eight".