1006001020 has 24 divisors (see below), whose sum is σ = 2147237568. Its totient is φ = 395803200.

The previous prime is 1006000997. The next prime is 1006001021. The reversal of 1006001020 is 201006001.

It is a super-3 number, since 3×1006001020³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1006000988 and 1006001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006001021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411076 + ... + 413515.

It is an arithmetic number, because the mean of its divisors is an integer number (89468232).

Almost surely, 2^1006001020 is an apocalyptic number.

1006001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006001020 is an abundant number, since it is smaller than the sum of its proper divisors (1141236548).

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

1006001020 is a wasteful number, since it uses less digits than its factorization.

1006001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824661 (or 824659 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1006001020 is about 31717.5191337532. The cubic root of 1006001020 is about 1001.9963519269.

Adding to 1006001020 its reverse (201006001), we get a palindrome (1207007021).

The spelling of 1006001020 in words is "one billion, six million, one thousand, twenty".