1319397768 has 128 divisors (see below), whose sum is σ = 4006396800. Its totient is φ = 399852288.

The previous prime is 1319397749. The next prime is 1319397811. The reversal of 1319397768 is 8677939131.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 184630 + ... + 191642.

It is an arithmetic number, because the mean of its divisors is an integer number (31299975).

Almost surely, 2^1319397768 is an apocalyptic number.

1319397768 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 1319397768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003198400).

1319397768 is an abundant number, since it is smaller than the sum of its proper divisors (2686999032).

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

1319397768 is a wasteful number, since it uses less digits than its factorization.

1319397768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7098 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 1319397768 is about 36323.5153585112. The cubic root of 1319397768 is about 1096.7944605632.

The spelling of 1319397768 in words is "one billion, three hundred nineteen million, three hundred ninety-seven thousand, seven hundred sixty-eight".