1680820201 has 8 divisors (see below), whose sum is σ = 1727819720. Its totient is φ = 1633903488.

The previous prime is 1680820181. The next prime is 1680820213. The reversal of 1680820201 is 1020280861.

It can be written as a sum of positive squares in 4 ways, for example, as 402042601 + 1278777600 = 20051^2 + 35760^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1680820201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1680820201.

It is not an unprimeable number, because it can be changed into a prime (1680820501) 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 7 ways as a sum of consecutive naturals, for example, 21655 + ... + 61891.

It is an arithmetic number, because the mean of its divisors is an integer number (215977465).

Almost surely, 2^1680820201 is an apocalyptic number.

It is an amenable number.

1680820201 is a deficient number, since it is larger than the sum of its proper divisors (46999519).

1680820201 is a wasteful number, since it uses less digits than its factorization.

1680820201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41403.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1680820201 is about 40997.8072706334. The cubic root of 1680820201 is about 1188.9778198209.

The spelling of 1680820201 in words is "one billion, six hundred eighty million, eight hundred twenty thousand, two hundred one".