1307288736 has 144 divisors (see below), whose sum is σ = 4112212104. Its totient is φ = 391329792.

The previous prime is 1307288701. The next prime is 1307288747. The reversal of 1307288736 is 6378827031.

It can be written as a sum of positive squares in 4 ways, for example, as 1173747600 + 133541136 = 34260^2 + 11556^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1307288691 and 1307288700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133810 + ... + 143246.

Almost surely, 2^1307288736 is an apocalyptic number.

1307288736 is a gapful number since it is divisible by the number (16) 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 1307288736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056106052).

1307288736 is an abundant number, since it is smaller than the sum of its proper divisors (2804923368).

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

1307288736 is a wasteful number, since it uses less digits than its factorization.

1307288736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1307288736 is about 36156.4480556373. The cubic root of 1307288736 is about 1093.4287942956.

The spelling of 1307288736 in words is "one billion, three hundred seven million, two hundred eighty-eight thousand, seven hundred thirty-six".