1309968 has 60 divisors (see below), whose sum is σ = 4004208. Its totient is φ = 396480.

The previous prime is 1309963. The next prime is 1309999. The reversal of 1309968 is 8699031.

It is a super-2 number, since 2×1309968² = 3432032322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1309961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1171 + ... + 1997.

2^1309968 is an apocalyptic number.

1309968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002104).

1309968 is an abundant number, since it is smaller than the sum of its proper divisors (2694240).

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

1309968 is a wasteful number, since it uses less digits than its factorization.

1309968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1309968 is about 1144.5383348757. The cubic root of 1309968 is about 109.4175271903.

The spelling of 1309968 in words is "one million, three hundred nine thousand, nine hundred sixty-eight".