1680219905 has 32 divisors (see below), whose sum is σ = 2627541504. Its totient is φ = 1000958976.

The previous prime is 1680219901. The next prime is 1680219911. The reversal of 1680219905 is 5099120861.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1680219905 - 2² = 1680219901 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1680219901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100877 + ... + 116346.

It is an arithmetic number, because the mean of its divisors is an integer number (82110672).

Almost surely, 2^1680219905 is an apocalyptic number.

It is an amenable number.

1680219905 is a deficient number, since it is larger than the sum of its proper divisors (947321599).

1680219905 is a wasteful number, since it uses less digits than its factorization.

1680219905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217265.

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 1680219905 is about 40990.4855423792. The cubic root of 1680219905 is about 1188.8362572641.

The spelling of 1680219905 in words is "one billion, six hundred eighty million, two hundred nineteen thousand, nine hundred five".