1680686829 has 12 divisors (see below), whose sum is σ = 2431384956. Its totient is φ = 1118738112.

The previous prime is 1680686809. The next prime is 1680686849. The reversal of 1680686829 is 9286860861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1680686809) and next prime (1680686849).

It can be written as a sum of positive squares in 2 ways, for example, as 739731204 + 940955625 = 27198^2 + 30675^2 .

It is not a de Polignac number, because 1680686829 - 2²⁰ = 1679638253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680686809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137112 + ... + 148865.

It is an arithmetic number, because the mean of its divisors is an integer number (202615413).

Almost surely, 2^1680686829 is an apocalyptic number.

It is an amenable number.

1680686829 is a deficient number, since it is larger than the sum of its proper divisors (750698127).

1680686829 is a wasteful number, since it uses less digits than its factorization.

1680686829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286636 (or 286633 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 1680686829 is about 40996.1806635691. The cubic root of 1680686829 is about 1188.9463707811.

The spelling of 1680686829 in words is "one billion, six hundred eighty million, six hundred eighty-six thousand, eight hundred twenty-nine".