1319680000 has 120 divisors (see below), whose sum is σ = 3300537240. Its totient is φ = 527360000.

The previous prime is 1319679971. The next prime is 1319680001. The reversal of 1319680000 is 869131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279485 + ... + 1280515.

It is an arithmetic number, because the mean of its divisors is an integer number (27504477).

Almost surely, 2^1319680000 is an apocalyptic number.

1319680000 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 1319680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650268620).

1319680000 is an abundant number, since it is smaller than the sum of its proper divisors (1980857240).

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

1319680000 is an frugal number, since it uses more digits than its factorization.

1319680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1319680000 is about 36327.4001271767. The cubic root of 1319680000 is about 1096.8726599842.

The spelling of 1319680000 in words is "one billion, three hundred nineteen million, six hundred eighty thousand".