1066168656 has 300 divisors, whose sum is σ = 3646692192. Its totient is φ = 299811456.

The previous prime is 1066168643. The next prime is 1066168721. The reversal of 1066168656 is 6568616601.

1066168656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066168656² = 2273431206073692672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6540831 + ... + 6540993.

Almost surely, 2^1066168656 is an apocalyptic number.

1066168656 is a gapful number since it is divisible by the number (16) 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 1066168656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823346096).

1066168656 is an abundant number, since it is smaller than the sum of its proper divisors (2580523536).

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

1066168656 is a wasteful number, since it uses less digits than its factorization.

1066168656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1066168656 is about 32652.2381468713. The cubic root of 1066168656 is about 1021.5868724917.

The spelling of 1066168656 in words is "one billion, sixty-six million, one hundred sixty-eight thousand, six hundred fifty-six".