1680416829 has 72 divisors (see below), whose sum is σ = 3201001440. Its totient is φ = 839668032.

The previous prime is 1680416809. The next prime is 1680416863. The reversal of 1680416829 is 9286140861.

It is not a de Polignac number, because 1680416829 - 2⁵ = 1680416797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680416809) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101214 + ... + 116640.

Almost surely, 2^1680416829 is an apocalyptic number.

1680416829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1680416829 is a deficient number, since it is larger than the sum of its proper divisors (1520584611).

1680416829 is a wasteful number, since it uses less digits than its factorization.

1680416829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15479 (or 15469 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1680416829 is about 40992.8875416212. The cubic root of 1680416829 is about 1188.8826998449.

It can be divided in two parts, 16804 and 16829, that added together give a palindrome (33633).

The spelling of 1680416829 in words is "one billion, six hundred eighty million, four hundred sixteen thousand, eight hundred twenty-nine".