1306000 has 40 divisors (see below), whose sum is σ = 3162744. Its totient is φ = 521600.

The previous prime is 1305971. The next prime is 1306001. The reversal of 1306000 is 6031.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 1149184 = 396^2 + 1072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306001) 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 7 ways as a sum of consecutive naturals, for example, 1674 + ... + 2326.

2^1306000 is an apocalyptic number.

1306000 is a gapful number since it is divisible by the number (10) 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 1306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581372).

1306000 is an abundant number, since it is smaller than the sum of its proper divisors (1856744).

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

1306000 is an equidigital number, since it uses as much as digits as its factorization.

1306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1306000 is about 1142.8035701729. The cubic root of 1306000 is about 109.3069372460.

The spelling of 1306000 in words is "one million, three hundred six thousand".