1680098121 has 27 divisors (see below), whose sum is σ = 2630348487. Its totient is φ = 1032922800.

The previous prime is 1680098111. The next prime is 1680098129. The reversal of 1680098121 is 1218900861.

The square root of 1680098121 is 40989.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 248535225 + 1431562896 = 15765^2 + 37836^2 .

It is not a de Polignac number, because 1680098121 - 2¹⁵ = 1680065353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1680098129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1598046 + ... + 1599096.

Almost surely, 2^1680098121 is an apocalyptic number.

1680098121 is the 40989-th square number.

1680098121 is the 20495-th centered octagonal number.

It is an amenable number.

1680098121 is a deficient number, since it is larger than the sum of its proper divisors (950250366).

1680098121 is an equidigital number, since it uses as much as digits as its factorization.

1680098121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The cubic root of 1680098121 is about 1188.8075338944.

Multiplying 1680098121 by its sum of digits (36), we get a square (60483532356 = 245934²).

Adding to 1680098121 its reverse (1218900861), we get a palindrome (2898998982).

It can be divided in two parts, 16800 and 98121, that added together give a square (114921 = 339²).

The spelling of 1680098121 in words is "one billion, six hundred eighty million, ninety-eight thousand, one hundred twenty-one".