1023068160 has 288 divisors, whose sum is σ = 3760094520. Its totient is φ = 256376832.

The previous prime is 1023068153. The next prime is 1023068171. The reversal of 1023068160 is 618603201.

It can be written as a sum of positive squares in 4 ways, for example, as 823919616 + 199148544 = 28704^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 1566394 + ... + 1567046.

Almost surely, 2^1023068160 is an apocalyptic number.

1023068160 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 1023068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880047260).

1023068160 is an abundant number, since it is smaller than the sum of its proper divisors (2737026360).

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

1023068160 is a wasteful number, since it uses less digits than its factorization.

1023068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1023068160 is about 31985.4366860920. The cubic root of 1023068160 is about 1007.6310062862.

The spelling of 1023068160 in words is "one billion, twenty-three million, sixty-eight thousand, one hundred sixty".