1006006020 has 24 divisors (see below), whose sum is σ = 2816817024. Its totient is φ = 268268256.

The previous prime is 1006006019. The next prime is 1006006031. The reversal of 1006006020 is 206006001.

It is a super-2 number, since 2×1006006020² = 2024096224552480800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8383324 + ... + 8383443.

It is an arithmetic number, because the mean of its divisors is an integer number (117367376).

Almost surely, 2^1006006020 is an apocalyptic number.

1006006020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006006020 is an abundant number, since it is smaller than the sum of its proper divisors (1810811004).

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

1006006020 is a wasteful number, since it uses less digits than its factorization.

1006006020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766779 (or 16766777 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1006006020 is about 31717.5979544479. The cubic root of 1006006020 is about 1001.9980119562.

The spelling of 1006006020 in words is "one billion, six million, six thousand, twenty".