1005666600 has 48 divisors (see below), whose sum is σ = 3117568320. Its totient is φ = 268177600.

The previous prime is 1005666593. The next prime is 1005666617. The reversal of 1005666600 is 66665001.

It is a super-2 number, since 2×1005666600² = 2022730620711120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 837456 + ... + 838655.

It is an arithmetic number, because the mean of its divisors is an integer number (64949340).

Almost surely, 2^1005666600 is an apocalyptic number.

1005666600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005666600 is an abundant number, since it is smaller than the sum of its proper divisors (2111901720).

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

1005666600 is a wasteful number, since it uses less digits than its factorization.

1005666600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676130 (or 1676121 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1005666600 is about 31712.2468456589. The cubic root of 1005666600 is about 1001.8853100390.

The spelling of 1005666600 in words is "one billion, five million, six hundred sixty-six thousand, six hundred".