1306968 has 64 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 389760.

The previous prime is 1306961. The next prime is 1306973. The reversal of 1306968 is 8696031.

It is a super-3 number, since 3×1306968³ = 6697552365333213696, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306961) 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 15 ways as a sum of consecutive naturals, for example, 18373 + ... + 18443.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^1306968 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 1306968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1306968 is an abundant number, since it is smaller than the sum of its proper divisors (2321832).

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

1306968 is a wasteful number, since it uses less digits than its factorization.

1306968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1306968 is about 1143.2270115773. The cubic root of 1306968 is about 109.3339364763. Note that the first 3 decimals are identical.

The spelling of 1306968 in words is "one million, three hundred six thousand, nine hundred sixty-eight".