1066560768 has 216 divisors, whose sum is σ = 3785553408. Its totient is φ = 281235456.

The previous prime is 1066560721. The next prime is 1066560791. The reversal of 1066560768 is 8670656601.

1066560768 is a `hidden beast` number, since 10 + 6 + 6 + 560 + 76 + 8 = 666.

It is a super-2 number, since 2×1066560768² = 2275103743673499648, 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 23 ways as a sum of consecutive naturals, for example, 207121 + ... + 212207.

Almost surely, 2^1066560768 is an apocalyptic number.

1066560768 is a gapful number since it is divisible by the number (18) 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 1066560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892776704).

1066560768 is an abundant number, since it is smaller than the sum of its proper divisors (2718992640).

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

1066560768 is a wasteful number, since it uses less digits than its factorization.

1066560768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1066560768 is about 32658.2419612569. The cubic root of 1066560768 is about 1021.7120957610.

The spelling of 1066560768 in words is "one billion, sixty-six million, five hundred sixty thousand, seven hundred sixty-eight".