1307115966 has 48 divisors (see below), whose sum is σ = 2891130624. Its totient is φ = 393617952.

The previous prime is 1307115917. The next prime is 1307115973. The reversal of 1307115966 is 6695117031.

It is a happy number.

1307115966 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1307115966² = 3417104297144226312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 33945 + ... + 61371.

It is an arithmetic number, because the mean of its divisors is an integer number (60231888).

Almost surely, 2^1307115966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307115966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445565312).

1307115966 is an abundant number, since it is smaller than the sum of its proper divisors (1584014658).

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

1307115966 is a wasteful number, since it uses less digits than its factorization.

1307115966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27505 (or 27492 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 1307115966 is about 36154.0587762979. The cubic root of 1307115966 is about 1093.3806233470.

The spelling of 1307115966 in words is "one billion, three hundred seven million, one hundred fifteen thousand, nine hundred sixty-six".