1661166600 has 48 divisors (see below), whose sum is σ = 5149618320. Its totient is φ = 442977600.

The previous prime is 1661166571. The next prime is 1661166601. The reversal of 1661166600 is 66611661.

It is not an unprimeable number, because it can be changed into a prime (1661166601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1383706 + ... + 1384905.

It is an arithmetic number, because the mean of its divisors is an integer number (107283715).

Almost surely, 2^1661166600 is an apocalyptic number.

1661166600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1661166600 is an abundant number, since it is smaller than the sum of its proper divisors (3488451720).

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

1661166600 is a wasteful number, since it uses less digits than its factorization.

1661166600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768630 (or 2768621 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1661166600 is about 40757.4115959294. The cubic root of 1661166600 is about 1184.3254541922.

The spelling of 1661166600 in words is "one billion, six hundred sixty-one million, one hundred sixty-six thousand, six hundred".