1307839104 has 384 divisors, whose sum is σ = 4691494080. Its totient is φ = 343572480.

The previous prime is 1307839097. The next prime is 1307839123. The reversal of 1307839104 is 4019387031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1307839104³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 2800279 + ... + 2800745.

Almost surely, 2^1307839104 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 1307839104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345747040).

1307839104 is an abundant number, since it is smaller than the sum of its proper divisors (3383654976).

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

1307839104 is a wasteful number, since it uses less digits than its factorization.

1307839104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1307839104 is about 36164.0581793581. The cubic root of 1307839104 is about 1093.5822171192.

The spelling of 1307839104 in words is "one billion, three hundred seven million, eight hundred thirty-nine thousand, one hundred four".