1066166600 has 72 divisors (see below), whose sum is σ = 2510727510. Its totient is φ = 421048320.

The previous prime is 1066166599. The next prime is 1066166609. The reversal of 1066166600 is 66616601.

1066166600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 30228004 + 1035938596 = 5498^2 + 32186^2 .

It is a super-2 number, since 2×1066166600² = 2273422437911120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066166609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1583864 + ... + 1584536.

Almost surely, 2^1066166600 is an apocalyptic number.

1066166600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066166600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255363755).

1066166600 is an abundant number, since it is smaller than the sum of its proper divisors (1444560910).

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

1066166600 is an equidigital number, since it uses as much as digits as its factorization.

1066166600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1066166600 is about 32652.2066635626. The cubic root of 1066166600 is about 1021.5862158152.

The spelling of 1066166600 in words is "one billion, sixty-six million, one hundred sixty-six thousand, six hundred".