1680918617 has 16 divisors (see below), whose sum is σ = 1939248000. Its totient is φ = 1427193600.

The previous prime is 1680918599. The next prime is 1680918661. The reversal of 1680918617 is 7168190861.

It is not a de Polignac number, because 1680918617 - 2⁶ = 1680918553 is a prime.

It is a super-3 number, since 3×1680918617³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1680918667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416234 + ... + 420252.

It is an arithmetic number, because the mean of its divisors is an integer number (121203000).

Almost surely, 2^1680918617 is an apocalyptic number.

It is an amenable number.

1680918617 is a deficient number, since it is larger than the sum of its proper divisors (258329383).

1680918617 is a wasteful number, since it uses less digits than its factorization.

1680918617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576.

The product of its (nonzero) digits is 145152, while the sum is 47.

The square root of 1680918617 is about 40999.0075123777. The cubic root of 1680918617 is about 1189.0010251896.

The spelling of 1680918617 in words is "one billion, six hundred eighty million, nine hundred eighteen thousand, six hundred seventeen".