1305768 has 32 divisors (see below), whose sum is σ = 3346560. Its totient is φ = 424320.

The previous prime is 1305749. The next prime is 1305797. The reversal of 1305768 is 8675031.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 321 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (104580).

2^1305768 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 1305768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673280).

1305768 is an abundant number, since it is smaller than the sum of its proper divisors (2040792).

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

1305768 is a wasteful number, since it uses less digits than its factorization.

1305768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1305768 is about 1142.7020609065. The cubic root of 1305768 is about 109.3004643743.

The spelling of 1305768 in words is "one million, three hundred five thousand, seven hundred sixty-eight".