1600080001 has 27 divisors (see below), whose sum is σ = 1850770683. Its totient is φ = 1382434560.

The previous prime is 1600079993. The next prime is 1600080011. The reversal of 1600080001 is 1000800061.

The square root of 1600080001 is 40001.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1599920001 + 160000 = 39999^2 + 400^2 .

It is not a de Polignac number, because 1600080001 - 2³ = 1600079993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1600080011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8840131 + ... + 8840311.

Almost surely, 2^1600080001 is an apocalyptic number.

1600080001 is the 40001-st square number.

1600080001 is the 20001-st centered octagonal number.

It is an amenable number.

1600080001 is a deficient number, since it is larger than the sum of its proper divisors (250690682).

1600080001 is an equidigital number, since it uses as much as digits as its factorization.

1600080001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The cubic root of 1600080001 is about 1169.6265886555.

Multiplying 1600080001 by its sum of digits (16), we get a square (25601280016 = 160004²).

Adding to 1600080001 its reverse (1000800061), we get a palindrome (2600880062).

The spelling of 1600080001 in words is "one billion, six hundred million, eighty thousand, one".