1680101217 has 32 divisors (see below), whose sum is σ = 2667490560. Its totient is φ = 1042398720.

The previous prime is 1680101191. The next prime is 1680101251. The reversal of 1680101217 is 7121010861.

It is not a de Polignac number, because 1680101217 - 2⁶ = 1680101153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1680101317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13584 + ... + 59537.

It is an arithmetic number, because the mean of its divisors is an integer number (83359080).

Almost surely, 2^1680101217 is an apocalyptic number.

It is an amenable number.

1680101217 is a deficient number, since it is larger than the sum of its proper divisors (987389343).

1680101217 is a wasteful number, since it uses less digits than its factorization.

1680101217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73190 (or 73184 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1680101217 is about 40989.0377662126. The cubic root of 1680101217 is about 1188.8082641188.

The spelling of 1680101217 in words is "one billion, six hundred eighty million, one hundred one thousand, two hundred seventeen".