1066106880 has 256 divisors, whose sum is σ = 3806272800. Its totient is φ = 283115520.

The previous prime is 1066106861. The next prime is 1066106911. The reversal of 1066106880 is 886016601.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×1066106880² = 2273167759166668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423560 + ... + 4423800.

Almost surely, 2^1066106880 is an apocalyptic number.

1066106880 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 1066106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903136400).

1066106880 is an abundant number, since it is smaller than the sum of its proper divisors (2740165920).

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

1066106880 is an frugal number, since it uses more digits than its factorization.

1066106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1066106880 is about 32651.2921643233. The cubic root of 1066106880 is about 1021.5671411640.

The spelling of 1066106880 in words is "one billion, sixty-six million, one hundred six thousand, eight hundred eighty".