1008668001 has 16 divisors (see below), whose sum is σ = 1491208128. Its totient is φ = 601291200.

The previous prime is 1008667999. The next prime is 1008668033.

1008668001 is nontrivially palindromic in base 10.

1008668001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1008668001 - 2¹ = 1008667999 is a prime.

It is a super-2 number, since 2×1008668001² = 2034822272482672002, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1008668001.

It is not an unprimeable number, because it can be changed into a prime (1008668051) 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, 248526 + ... + 252551.

It is an arithmetic number, because the mean of its divisors is an integer number (93200508).

Almost surely, 2^1008668001 is an apocalyptic number.

1008668001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1008668001 is a deficient number, since it is larger than the sum of its proper divisors (482540127).

1008668001 is a wasteful number, since it uses less digits than its factorization.

1008668001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501152.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1008668001 is about 31759.5340173624. The cubic root of 1008668001 is about 1002.8810253882.

It can be divided in two parts, 10086 and 68001, that added together give a palindrome (78087).

The spelling of 1008668001 in words is "one billion, eight million, six hundred sixty-eight thousand, one".