1027157960 has 48 divisors (see below), whose sum is σ = 2393342100. Its totient is φ = 396273920.

The previous prime is 1027157959. The next prime is 1027157987. The reversal of 1027157960 is 697517201.

It can be written as a sum of positive squares in 6 ways, for example, as 577633156 + 449524804 = 24034^2 + 21202^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1091090 + ... + 1092030.

Almost surely, 2^1027157960 is an apocalyptic number.

1027157960 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 1027157960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196671050).

1027157960 is an abundant number, since it is smaller than the sum of its proper divisors (1366184140).

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

1027157960 is an frugal number, since it uses more digits than its factorization.

1027157960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 38.

The square root of 1027157960 is about 32049.3051406735. The cubic root of 1027157960 is about 1008.9719173009.

The spelling of 1027157960 in words is "one billion, twenty-seven million, one hundred fifty-seven thousand, nine hundred sixty".