1068534000 has 480 divisors, whose sum is σ = 4073846400. Its totient is φ = 260198400.

The previous prime is 1068533953. The next prime is 1068534001. The reversal of 1068534000 is 4358601.

1068534000 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 2×1068534000² = 2283529818312000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068534001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12005956 + ... + 12006044.

It is an arithmetic number, because the mean of its divisors is an integer number (8487180).

Almost surely, 2^1068534000 is an apocalyptic number.

1068534000 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 1068534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036923200).

1068534000 is an abundant number, since it is smaller than the sum of its proper divisors (3005312400).

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

1068534000 is a wasteful number, since it uses less digits than its factorization.

1068534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1068534000 is about 32688.4383230524. The cubic root of 1068534000 is about 1022.3417935814.

The spelling of 1068534000 in words is "one billion, sixty-eight million, five hundred thirty-four thousand".