1312768 has 24 divisors (see below), whose sum is σ = 2628990. Its totient is φ = 655360.

The previous prime is 1312739. The next prime is 1312769. The reversal of 1312768 is 8672131.

It can be written as a sum of positive squares in only one way, i.e., 861184 + 451584 = 928^2 + 672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1728 + ... + 2368.

2^1312768 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 1312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314495).

1312768 is an abundant number, since it is smaller than the sum of its proper divisors (1316222).

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

1312768 is an frugal number, since it uses more digits than its factorization.

1312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 643 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 1312768 is about 1145.7608825580. The cubic root of 1312768 is about 109.4954301242.

Adding to 1312768 its reverse (8672131), we get a palindrome (9984899).

It can be divided in two parts, 1312 and 768, that added together give a triangular number (2080 = T₆₄).

The spelling of 1312768 in words is "one million, three hundred twelve thousand, seven hundred sixty-eight".