1315968 has 64 divisors (see below), whose sum is σ = 3672000. Its totient is φ = 416768.

The previous prime is 1315967. The next prime is 1315969. The reversal of 1315968 is 8695131.

It is an interprime number because it is at equal distance from previous prime (1315967) and next prime (1315969).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1315961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8758 + ... + 8906.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

2^1315968 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 1315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836000).

1315968 is an abundant number, since it is smaller than the sum of its proper divisors (2356032).

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

1315968 is a wasteful number, since it uses less digits than its factorization.

1315968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 1315968 is about 1147.1564845303. The cubic root of 1315968 is about 109.5843265278.

The spelling of 1315968 in words is "one million, three hundred fifteen thousand, nine hundred sixty-eight".