1680983667 has 36 divisors (see below), whose sum is σ = 2741087440. Its totient is φ = 991219680.

The previous prime is 1680983663. The next prime is 1680983671. The reversal of 1680983667 is 7663890861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1680983663) and next prime (1680983671).

It is not a de Polignac number, because 1680983667 - 2² = 1680983663 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1680983663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19434 + ... + 61152.

Almost surely, 2^1680983667 is an apocalyptic number.

1680983667 is a deficient number, since it is larger than the sum of its proper divisors (1060103773).

1680983667 is a wasteful number, since it uses less digits than its factorization.

1680983667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41784 (or 41770 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1680983667 is about 40999.8008165893. The cubic root of 1680983667 is about 1189.0163627394.

The spelling of 1680983667 in words is "one billion, six hundred eighty million, nine hundred eighty-three thousand, six hundred sixty-seven".