1306536 has 96 divisors (see below), whose sum is σ = 4186080. Its totient is φ = 336000.

The previous prime is 1306519. The next prime is 1306541. The reversal of 1306536 is 6356031.

1306536 is a nontrivial binomial coefficient, being equal to C(1617, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12886 + ... + 12986.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

2^1306536 is an apocalyptic number.

1306536 is the 1616-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093040).

1306536 is an abundant number, since it is smaller than the sum of its proper divisors (2879544).

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

1306536 is a wasteful number, since it uses less digits than its factorization.

1306536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1306536 is about 1143.0380571092. The cubic root of 1306536 is about 109.3218888808.

It can be divided in two parts, 130 and 6536, that added together give a palindrome (6666).

The spelling of 1306536 in words is "one million, three hundred six thousand, five hundred thirty-six".