1680407135 has 16 divisors (see below), whose sum is σ = 2241315360. Its totient is φ = 1199053440.

The previous prime is 1680407129. The next prime is 1680407137. The reversal of 1680407135 is 5317040861.

It is not a de Polignac number, because 1680407135 - 2⁸ = 1680406879 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1680407095 and 1680407104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680407137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285320 + ... + 291149.

It is an arithmetic number, because the mean of its divisors is an integer number (140082210).

Almost surely, 2^1680407135 is an apocalyptic number.

1680407135 is a deficient number, since it is larger than the sum of its proper divisors (560908225).

1680407135 is a wasteful number, since it uses less digits than its factorization.

1680407135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576538.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1680407135 is about 40992.7693014268. The cubic root of 1680407135 is about 1188.8804136956.

Adding to 1680407135 its reverse (5317040861), we get a palindrome (6997447996).

The spelling of 1680407135 in words is "one billion, six hundred eighty million, four hundred seven thousand, one hundred thirty-five".