1680918001 has 9 divisors (see below), whose sum is σ = 1955687499. Its totient is φ = 1440540864.

The previous prime is 1680917983. The next prime is 1680918007. The reversal of 1680918001 is 1008190861.

The square root of 1680918001 is 40999.

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., 1589218225 + 91699776 = 39865^2 + 9576^2 .

It is not a de Polignac number, because 1680918001 - 2¹⁷ = 1680786929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1680918007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 284065 + ... + 289921.

It is an arithmetic number, because the mean of its divisors is an integer number (217298611).

Almost surely, 2^1680918001 is an apocalyptic number.

1680918001 is the 40999-th square number.

1680918001 is the 20500-th centered octagonal number.

It is an amenable number.

1680918001 is a deficient number, since it is larger than the sum of its proper divisors (274769498).

1680918001 is an frugal number, since it uses more digits than its factorization.

1680918001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11728 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

The cubic root of 1680918001 is about 1189.0008799467. Note that the first 3 decimals are identical.

It can be divided in two parts, 1680 and 918001, that added together give a square (919681 = 959²).

The spelling of 1680918001 in words is "one billion, six hundred eighty million, nine hundred eighteen thousand, one".