1303968 has 72 divisors (see below), whose sum is σ = 3713472. Its totient is φ = 400384.

The previous prime is 1303963. The next prime is 1303979. The reversal of 1303968 is 8693031.

It is not an unprimeable number, because it can be changed into a prime (1303961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27721 + ... + 27767.

It is an arithmetic number, because the mean of its divisors is an integer number (51576).

2^1303968 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 1303968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856736).

1303968 is an abundant number, since it is smaller than the sum of its proper divisors (2409504).

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

1303968 is a wasteful number, since it uses less digits than its factorization.

1303968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1303968 is about 1141.9141824148. The cubic root of 1303968 is about 109.2502177487.

Adding to 1303968 its reverse (8693031), we get a palindrome (9996999).

The spelling of 1303968 in words is "one million, three hundred three thousand, nine hundred sixty-eight".