1020001008 has 160 divisors (see below), whose sum is σ = 2920701952. Its totient is φ = 304819200.

The previous prime is 1020001001. The next prime is 1020001013. The reversal of 1020001008 is 8001000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020000984 and 1020001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834023 + ... + 4834233.

Almost surely, 2^1020001008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020001008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460350976).

1020001008 is an abundant number, since it is smaller than the sum of its proper divisors (1900700944).

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

1020001008 is a wasteful number, since it uses less digits than its factorization.

1020001008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1020001008 is about 31937.4546261909. The cubic root of 1020001008 is about 1006.6230411534.

Adding to 1020001008 its reverse (8001000201), we get a palindrome (9021001209).

The spelling of 1020001008 in words is "one billion, twenty million, one thousand, eight".