1307682144 has 288 divisors, whose sum is σ = 4160782080. Its totient is φ = 402734592.

The previous prime is 1307682127. The next prime is 1307682161. The reversal of 1307682144 is 4412867031.

It is an interprime number because it is at equal distance from previous prime (1307682127) and next prime (1307682161).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1307682099 and 1307682108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7830349 + ... + 7830515.

It is an arithmetic number, because the mean of its divisors is an integer number (14447160).

Almost surely, 2^1307682144 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 1307682144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080391040).

1307682144 is an abundant number, since it is smaller than the sum of its proper divisors (2853099936).

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

1307682144 is a wasteful number, since it uses less digits than its factorization.

1307682144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1307682144 is about 36161.8880038087. Note that the first 3 decimals coincide. The cubic root of 1307682144 is about 1093.5384666988.

The spelling of 1307682144 in words is "one billion, three hundred seven million, six hundred eighty-two thousand, one hundred forty-four".