1068305760 has 384 divisors, whose sum is σ = 3927813120. Its totient is φ = 274337280.

The previous prime is 1068305753. The next prime is 1068305809. The reversal of 1068305760 is 675038601.

1068305760 is a `hidden beast` number, since 1 + 0 + 6 + 83 + 0 + 576 + 0 = 666.

It is a super-2 number, since 2×1068305760² = 2282554393698355200, 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15046525 + ... + 15046595.

It is an arithmetic number, because the mean of its divisors is an integer number (10228680).

Almost surely, 2^1068305760 is an apocalyptic number.

1068305760 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 1068305760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963906560).

1068305760 is an abundant number, since it is smaller than the sum of its proper divisors (2859507360).

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

1068305760 is an frugal number, since it uses more digits than its factorization.

1068305760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1068305760 is about 32684.9469939910. The cubic root of 1068305760 is about 1022.2689972995.

The spelling of 1068305760 in words is "one billion, sixty-eight million, three hundred five thousand, seven hundred sixty".