1068134760 has 576 divisors, whose sum is σ = 4541322240. Its totient is φ = 212889600.

The previous prime is 1068134741. The next prime is 1068134773. The reversal of 1068134760 is 674318601.

1068134760 is a `hidden beast` number, since 106 + 81 + 3 + 476 + 0 = 666.

It is a super-2 number, since 2×1068134760² = 2281823731040515200, 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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9452464 + ... + 9452576.

It is an arithmetic number, because the mean of its divisors is an integer number (7884240).

Almost surely, 2^1068134760 is an apocalyptic number.

1068134760 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 1068134760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270661120).

1068134760 is an abundant number, since it is smaller than the sum of its proper divisors (3473187480).

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

1068134760 is a wasteful number, since it uses less digits than its factorization.

1068134760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1068134760 is about 32682.3310062180. The cubic root of 1068134760 is about 1022.2144507041.

The spelling of 1068134760 in words is "one billion, sixty-eight million, one hundred thirty-four thousand, seven hundred sixty".