1027349568 has 168 divisors, whose sum is σ = 3490398912. Its totient is φ = 293497344.

The previous prime is 1027349549. The next prime is 1027349573. The reversal of 1027349568 is 8659437201.

1027349568 is a `hidden beast` number, since 10 + 2 + 73 + 4 + 9 + 568 = 666.

1027349568 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

1027349568 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104146 + ... + 113582.

It is an arithmetic number, because the mean of its divisors is an integer number (20776184).

It is a 1-persistent number, because it is pandigital, but 2⋅1027349568 = 2054699136 is not.

Almost surely, 2^1027349568 is an apocalyptic number.

1027349568 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 1027349568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745199456).

1027349568 is an abundant number, since it is smaller than the sum of its proper divisors (2463049344).

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

1027349568 is an frugal number, since it uses more digits than its factorization.

1027349568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471 (or 9449 counting only the distinct ones).

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

The square root of 1027349568 is about 32052.2942704575. The cubic root of 1027349568 is about 1009.0346519138.

The spelling of 1027349568 in words is "one billion, twenty-seven million, three hundred forty-nine thousand, five hundred sixty-eight".