1863868968 has 160 divisors (see below), whose sum is σ = 5682590760. Its totient is φ = 567336960.

The previous prime is 1863868949. The next prime is 1863869003. The reversal of 1863868968 is 8698683681.

It can be written as a sum of positive squares in 4 ways, for example, as 1333856484 + 530012484 = 36522^2 + 23022^2 .

It is a nude number because it is divisible by every one of its digits.

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 39 ways as a sum of consecutive naturals, for example, 815988 + ... + 818268.

Almost surely, 2^1863868968 is an apocalyptic number.

1863868968 is a gapful number since it is divisible by the number (18) 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 1863868968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841295380).

1863868968 is an abundant number, since it is smaller than the sum of its proper divisors (3818721792).

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

1863868968 is a wasteful number, since it uses less digits than its factorization.

1863868968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2396 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 1863868968 is about 43172.5487781298. The cubic root of 1863868968 is about 1230.6610604749.

The spelling of 1863868968 in words is "one billion, eight hundred sixty-three million, eight hundred sixty-eight thousand, nine hundred sixty-eight".