1008000020 has 12 divisors (see below), whose sum is σ = 2116800084. Its totient is φ = 403200000.

The previous prime is 1008000013. The next prime is 1008000031. The reversal of 1008000020 is 200008001.

It can be written as a sum of positive squares in 2 ways, for example, as 370639504 + 637360516 = 19252^2 + 25246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1007999965 and 1008000010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25199981 + ... + 25200020.

It is an arithmetic number, because the mean of its divisors is an integer number (176400007).

Almost surely, 2^1008000020 is an apocalyptic number.

1008000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008000020 is an abundant number, since it is smaller than the sum of its proper divisors (1108800064).

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

1008000020 is a wasteful number, since it uses less digits than its factorization.

1008000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50400010 (or 50400008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1008000020 is about 31749.0160477455. The cubic root of 1008000020 is about 1002.6595936243.

Adding to 1008000020 its reverse (200008001), we get a palindrome (1208008021).

The spelling of 1008000020 in words is "one billion, eight million, twenty", and thus it is an aban number and an uban number.