1968636100 has 18 divisors (see below), whose sum is σ = 4271940554. Its totient is φ = 787454400.

The previous prime is 1968636083. The next prime is 1968636101. The reversal of 1968636100 is 16368691.

It can be written as a sum of positive squares in 3 ways, for example, as 19236996 + 1949399104 = 4386^2 + 44152^2 .

It is not an unprimeable number, because it can be changed into a prime (1968636101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 9843081 + ... + 9843280.

Almost surely, 2^1968636100 is an apocalyptic number.

1968636100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968636100 is an abundant number, since it is smaller than the sum of its proper divisors (2303304454).

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

1968636100 is a wasteful number, since it uses less digits than its factorization.

1968636100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19686375 (or 19686368 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1968636100 is about 44369.3148470877. The cubic root of 1968636100 is about 1253.3003133434.

The spelling of 1968636100 in words is "one billion, nine hundred sixty-eight million, six hundred thirty-six thousand, one hundred".