1306864 has 40 divisors (see below), whose sum is σ = 2798432. Its totient is φ = 587520.

The previous prime is 1306853. The next prime is 1306873. The reversal of 1306864 is 4686031.

1306864 = T₁₀₅ + T₁₀₆ + ... + T₂₀₇.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12637 + ... + 12739.

2^1306864 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 1306864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399216).

1306864 is an abundant number, since it is smaller than the sum of its proper divisors (1491568).

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

1306864 is a wasteful number, since it uses less digits than its factorization.

1306864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1306864 is about 1143.1815253931. The cubic root of 1306864 is about 109.3310363719.

The spelling of 1306864 in words is "one million, three hundred six thousand, eight hundred sixty-four".