1005666000 has 80 divisors (see below), whose sum is σ = 3242286528. Its totient is φ = 268176000.

The previous prime is 1005665993. The next prime is 1005666001. The reversal of 1005666000 is 6665001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1005666000² = 2022728207112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005666001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77806 + ... + 89805.

Almost surely, 2^1005666000 is an apocalyptic number.

1005666000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005666000 is an abundant number, since it is smaller than the sum of its proper divisors (2236620528).

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

1005666000 is a wasteful number, since it uses less digits than its factorization.

1005666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167637 (or 167621 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1005666000 is about 31712.2373855898. The cubic root of 1005666000 is about 1001.8851107910.

Subtracting from 1005666000 its reverse (6665001), we obtain a palindrome (999000999).

The spelling of 1005666000 in words is "one billion, five million, six hundred sixty-six thousand".