1027938080 has 96 divisors (see below), whose sum is σ = 2729147904. Its totient is φ = 363027456.

The previous prime is 1027938059. The next prime is 1027938097. The reversal of 1027938080 is 808397201.

It is a hoax number, since the sum of its digits (38) 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 15 ways as a sum of consecutive naturals, for example, 37097 + ... + 58583.

It is an arithmetic number, because the mean of its divisors is an integer number (28428624).

Almost surely, 2^1027938080 is an apocalyptic number.

1027938080 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 1027938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364573952).

1027938080 is an abundant number, since it is smaller than the sum of its proper divisors (1701209824).

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

1027938080 is a wasteful number, since it uses less digits than its factorization.

1027938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21538 (or 21530 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 1027938080 is about 32061.4734533521. The cubic root of 1027938080 is about 1009.2272885992.

The spelling of 1027938080 in words is "one billion, twenty-seven million, nine hundred thirty-eight thousand, eighty".