1006800040 has 32 divisors (see below), whose sum is σ = 2290761000. Its totient is φ = 398193664.

The previous prime is 1006800037. The next prime is 1006800073. The reversal of 1006800040 is 400086001.

It can be written as a sum of positive squares in 4 ways, for example, as 573410916 + 433389124 = 23946^2 + 20818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1006799990 and 1006800017.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 137845 + ... + 144964.

Almost surely, 2^1006800040 is an apocalyptic number.

1006800040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006800040 is an abundant number, since it is smaller than the sum of its proper divisors (1283960960).

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

1006800040 is a wasteful number, since it uses less digits than its factorization.

1006800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282909 (or 282905 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1006800040 is about 31730.1125116190. The cubic root of 1006800040 is about 1002.2615614839.

Adding to 1006800040 its reverse (400086001), we get a palindrome (1406886041).

The spelling of 1006800040 in words is "one billion, six million, eight hundred thousand, forty".