1346768960 has 112 divisors (see below), whose sum is σ = 3339632640. Its totient is φ = 516741120.

The previous prime is 1346768953. The next prime is 1346768999. The reversal of 1346768960 is 698676431.

It is a junction number, because it is equal to n+sod(n) for n = 1346768899 and 1346768908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259306 + ... + 1260374.

Almost surely, 2^1346768960 is an apocalyptic number.

1346768960 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 1346768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669816320).

1346768960 is an abundant number, since it is smaller than the sum of its proper divisors (1992863680).

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

1346768960 is a wasteful number, since it uses less digits than its factorization.

1346768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 1346768960 is about 36698.3509166284. The cubic root of 1346768960 is about 1104.3270227737.

The spelling of 1346768960 in words is "one billion, three hundred forty-six million, seven hundred sixty-eight thousand, nine hundred sixty".