1768987168 has 96 divisors (see below), whose sum is σ = 3875119920. Its totient is φ = 789626880.

The previous prime is 1768987151. The next prime is 1768987177. The reversal of 1768987168 is 8617898671.

It can be written as a sum of positive squares in 8 ways, for example, as 1475481744 + 293505424 = 38412^2 + 17132^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4324948 + ... + 4325356.

Almost surely, 2^1768987168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1768987168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937559960).

1768987168 is an abundant number, since it is smaller than the sum of its proper divisors (2106132752).

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

1768987168 is a wasteful number, since it uses less digits than its factorization.

1768987168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 61.

The square root of 1768987168 is about 42059.3291434849. The cubic root of 1768987168 is about 1209.4137286887.

The spelling of 1768987168 in words is "one billion, seven hundred sixty-eight million, nine hundred eighty-seven thousand, one hundred sixty-eight".