1687016667 has 16 divisors (see below), whose sum is σ = 2584017920. Its totient is φ = 959012352.

The previous prime is 1687016657. The next prime is 1687016687. The reversal of 1687016667 is 7666107861.

It is not a de Polignac number, because 1687016667 - 2⁸ = 1687016411 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1687016657) 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, 204067 + ... + 212172.

It is an arithmetic number, because the mean of its divisors is an integer number (161501120).

Almost surely, 2^1687016667 is an apocalyptic number.

1687016667 is a deficient number, since it is larger than the sum of its proper divisors (897001253).

1687016667 is a wasteful number, since it uses less digits than its factorization.

1687016667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416442.

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 1687016667 is about 41073.3084496489. The cubic root of 1687016667 is about 1190.4371124465.

The spelling of 1687016667 in words is "one billion, six hundred eighty-seven million, sixteen thousand, six hundred sixty-seven".