1000008040 has 64 divisors (see below), whose sum is σ = 2315673360. Its totient is φ = 388423680.

The previous prime is 1000007941. The next prime is 1000008041. The reversal of 1000008040 is 408000001.

1000008040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 307581444 + 692426596 = 17538^2 + 26314^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1000008040.

It is not an unprimeable number, because it can be changed into a prime (1000008041) 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 15 ways as a sum of consecutive naturals, for example, 380812 + ... + 383428.

Almost surely, 2^1000008040 is an apocalyptic number.

1000008040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000008040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157836680).

1000008040 is an abundant number, since it is smaller than the sum of its proper divisors (1315665320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000008040 is a wasteful number, since it uses less digits than its factorization.

1000008040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1000008040 is about 31622.9037249902. The cubic root of 1000008040 is about 1000.0026799928.

Adding to 1000008040 its reverse (408000001), we get a palindrome (1408008041).

The spelling of 1000008040 in words is "one billion, eight thousand, forty".