1306388736 has 135 divisors (see below), whose sum is σ = 3910996243. Its totient is φ = 433728000.

The previous prime is 1306388717. The next prime is 1306388737. The reversal of 1306388736 is 6378836031.

The square root of 1306388736 is 36144.

It is a perfect power (a square), and thus also a powerful number.

1306388736 is a `hidden beast` number, since 1 + 3 + 0 + 638 + 8 + 7 + 3 + 6 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1306388691 and 1306388700.

It is not an unprimeable number, because it can be changed into a prime (1306388737) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5204611 + ... + 5204861.

Almost surely, 2^1306388736 is an apocalyptic number.

1306388736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1306388736 is the 36144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306388736

1306388736 is an abundant number, since it is smaller than the sum of its proper divisors (2604607507).

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

1306388736 is an frugal number, since it uses more digits than its factorization.

1306388736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 1306388736 is about 1093.1778138236.

The spelling of 1306388736 in words is "one billion, three hundred six million, three hundred eighty-eight thousand, seven hundred thirty-six".