1027716144 has 160 divisors (see below), whose sum is σ = 3356451840. Its totient is φ = 263678976.

The previous prime is 1027716073. The next prime is 1027716161. The reversal of 1027716144 is 4416177201.

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 31 ways as a sum of consecutive naturals, for example, 158437 + ... + 164795.

It is an arithmetic number, because the mean of its divisors is an integer number (20977824).

Almost surely, 2^1027716144 is an apocalyptic number.

1027716144 is a gapful number since it is divisible by the number (14) 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 1027716144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678225920).

1027716144 is an abundant number, since it is smaller than the sum of its proper divisors (2328735696).

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

1027716144 is a wasteful number, since it uses less digits than its factorization.

1027716144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1027716144 is about 32058.0121654478. The cubic root of 1027716144 is about 1009.1546512833.

The spelling of 1027716144 in words is "one billion, twenty-seven million, seven hundred sixteen thousand, one hundred forty-four".