1307674368 has 756 divisors, whose sum is σ = 5348416248. Its totient is φ = 313528320.

The previous prime is 1307674343. The next prime is 1307674369. The reversal of 1307674368 is 8634767031.

It is a tau number, because it is divible by the number of its divisors (756).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307674369) 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 83 ways as a sum of consecutive naturals, for example, 100590330 + ... + 100590342.

Almost surely, 2^1307674368 is an apocalyptic number.

1307674368 is a gapful number since it is divisible by the number (18) 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 1307674368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674208124).

1307674368 is an abundant number, since it is smaller than the sum of its proper divisors (4040741880).

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

1307674368 is an equidigital number, since it uses as much as digits as its factorization.

1307674368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1307674368 is about 36161.7804871386. The cubic root of 1307674368 is about 1093.5362991557.

The spelling of 1307674368 in words is "one billion, three hundred seven million, six hundred seventy-four thousand, three hundred sixty-eight".