1027161616 has 20 divisors (see below), whose sum is σ = 2143212652. Its totient is φ = 474074496.

The previous prime is 1027161613. The next prime is 1027161637. The reversal of 1027161616 is 6161617201.

1027161616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 627001600 + 400160016 = 25040^2 + 20004^2 .

It is not an unprimeable number, because it can be changed into a prime (1027161613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2468931 + ... + 2469346.

Almost surely, 2^1027161616 is an apocalyptic number.

1027161616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1027161616 is an abundant number, since it is smaller than the sum of its proper divisors (1116051036).

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

1027161616 is a wasteful number, since it uses less digits than its factorization.

1027161616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938298 (or 4938292 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 1027161616 is about 32049.3621777408. The cubic root of 1027161616 is about 1008.9731143894.

Adding to 1027161616 its reverse (6161617201), we get a palindrome (7188778817).

The spelling of 1027161616 in words is "one billion, twenty-seven million, one hundred sixty-one thousand, six hundred sixteen".