1066506112 has 64 divisors (see below), whose sum is σ = 2432700000. Its totient is φ = 456228864.

The previous prime is 1066506107. The next prime is 1066506131. The reversal of 1066506112 is 2116056601.

1066506112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1066506112² = 2274870573866713088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853264 + ... + 854512.

Almost surely, 2^1066506112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216350000).

1066506112 is an abundant number, since it is smaller than the sum of its proper divisors (1366193888).

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

1066506112 is an equidigital number, since it uses as much as digits as its factorization.

1066506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1066506112 is about 32657.4051633010. The cubic root of 1066506112 is about 1021.6946428876.

The spelling of 1066506112 in words is "one billion, sixty-six million, five hundred six thousand, one hundred twelve".