1319540768 has 144 divisors (see below), whose sum is σ = 3296026944. Its totient is φ = 506373120.

The previous prime is 1319540753. The next prime is 1319540777. The reversal of 1319540768 is 8670459131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3986363 + ... + 3986693.

It is an arithmetic number, because the mean of its divisors is an integer number (22889076).

Almost surely, 2^1319540768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319540768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648013472).

1319540768 is an abundant number, since it is smaller than the sum of its proper divisors (1976486176).

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

1319540768 is a wasteful number, since it uses less digits than its factorization.

1319540768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 1319540768 is about 36325.4837269925. The cubic root of 1319540768 is about 1096.8340836765.

Adding to 1319540768 its reverse (8670459131), we get a palindrome (9989999899).

The spelling of 1319540768 in words is "one billion, three hundred nineteen million, five hundred forty thousand, seven hundred sixty-eight".