1306798416 has 240 divisors, whose sum is σ = 4800407040. Its totient is φ = 321511680.

The previous prime is 1306798411. The next prime is 1306798421. The reversal of 1306798416 is 6148976031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1306798411) and next prime (1306798421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306798411) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 207571 + ... + 213773.

It is an arithmetic number, because the mean of its divisors is an integer number (20001696).

Almost surely, 2^1306798416 is an apocalyptic number.

1306798416 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 1306798416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400203520).

1306798416 is an abundant number, since it is smaller than the sum of its proper divisors (3493608624).

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

1306798416 is a wasteful number, since it uses less digits than its factorization.

1306798416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1306798416 is about 36149.6668864320. Note that the first 3 decimals coincide. The cubic root of 1306798416 is about 1093.2920744229.

The spelling of 1306798416 in words is "one billion, three hundred six million, seven hundred ninety-eight thousand, four hundred sixteen".