1319868900 has 243 divisors, whose sum is σ = 4840472091. Its totient is φ = 299940480.

The previous prime is 1319868863. The next prime is 1319868917. The reversal of 1319868900 is 98689131.

The square root of 1319868900 is 36330.

It is a perfect power (a square), and thus also a powerful number.

1319868900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 145298916 + 1174569984 = 12054^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7629214 + ... + 7629386.

Almost surely, 2^1319868900 is an apocalyptic number.

1319868900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1319868900 is the 36330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319868900

1319868900 is an abundant number, since it is smaller than the sum of its proper divisors (3520603191).

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

1319868900 is a wasteful number, since it uses less digits than its factorization.

1319868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The cubic root of 1319868900 is about 1096.9249932165.

The spelling of 1319868900 in words is "one billion, three hundred nineteen million, eight hundred sixty-eight thousand, nine hundred".