1005675666 has 32 divisors (see below), whose sum is σ = 2058835968. Its totient is φ = 327400080.

The previous prime is 1005675661. The next prime is 1005675673. The reversal of 1005675666 is 6665765001.

It is a super-2 number, since 2×1005675666² = 2022767090369087112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005675661) 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, 34551 + ... + 56613.

It is an arithmetic number, because the mean of its divisors is an integer number (64338624).

Almost surely, 2^1005675666 is an apocalyptic number.

1005675666 is an abundant number, since it is smaller than the sum of its proper divisors (1053160302).

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

1005675666 is a wasteful number, since it uses less digits than its factorization.

1005675666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22246.

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 1005675666 is about 31712.3897869587. The cubic root of 1005675666 is about 1001.8883206673. Note that the first 3 decimals are identical.

The spelling of 1005675666 in words is "one billion, five million, six hundred seventy-five thousand, six hundred sixty-six".