1380768 has 48 divisors (see below), whose sum is σ = 3820320. Its totient is φ = 435456.

The previous prime is 1380763. The next prime is 1380779. The reversal of 1380768 is 8670831.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1380763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1446 + ... + 2202.

It is an arithmetic number, because the mean of its divisors is an integer number (79590).

2^1380768 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 1380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910160).

1380768 is an abundant number, since it is smaller than the sum of its proper divisors (2439552).

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

1380768 is a wasteful number, since it uses less digits than its factorization.

1380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1380768 is about 1175.0608494882. The cubic root of 1380768 is about 111.3542775167.

The spelling of 1380768 in words is "one million, three hundred eighty thousand, seven hundred sixty-eight".