1027311680 has 28 divisors (see below), whose sum is σ = 2446286700. Its totient is φ = 410924544.

The previous prime is 1027311671. The next prime is 1027311707. The reversal of 1027311680 is 861137201.

It can be written as a sum of positive squares in 2 ways, for example, as 152571904 + 874739776 = 12352^2 + 29576^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 1604855 + ... + 1605494.

Almost surely, 2^1027311680 is an apocalyptic number.

1027311680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027311680 is an abundant number, since it is smaller than the sum of its proper divisors (1418975020).

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

1027311680 is an equidigital number, since it uses as much as digits as its factorization.

1027311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210366 (or 3210356 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1027311680 is about 32051.7032308737. The cubic root of 1027311680 is about 1009.0222475755.

Adding to 1027311680 its reverse (861137201), we get a palindrome (1888448881).

The spelling of 1027311680 in words is "one billion, twenty-seven million, three hundred eleven thousand, six hundred eighty".