1027868160 has 320 divisors, whose sum is σ = 3747617280. Its totient is φ = 238346240.

The previous prime is 1027868123. The next prime is 1027868197. The reversal of 1027868160 is 618687201.

It is an interprime number because it is at equal distance from previous prime (1027868123) and next prime (1027868197).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44689909 + ... + 44689931.

It is an arithmetic number, because the mean of its divisors is an integer number (11711304).

Almost surely, 2^1027868160 is an apocalyptic number.

1027868160 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 1027868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873808640).

1027868160 is an abundant number, since it is smaller than the sum of its proper divisors (2719749120).

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

1027868160 is an frugal number, since it uses more digits than its factorization.

1027868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1027868160 is about 32060.3830295273. The cubic root of 1027868160 is about 1009.2044056476.

The spelling of 1027868160 in words is "one billion, twenty-seven million, eight hundred sixty-eight thousand, one hundred sixty".