1307981268 has 72 divisors (see below), whose sum is σ = 3640684320. Its totient is φ = 392640960.

The previous prime is 1307981263. The next prime is 1307981351. The reversal of 1307981268 is 8621897031.

1307981268 is a `hidden beast` number, since 1 + 307 + 9 + 81 + 268 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307981263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26938 + ... + 57806.

It is an arithmetic number, because the mean of its divisors is an integer number (50565060).

Almost surely, 2^1307981268 is an apocalyptic number.

1307981268 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 1307981268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820342160).

1307981268 is an abundant number, since it is smaller than the sum of its proper divisors (2332703052).

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

1307981268 is a wasteful number, since it uses less digits than its factorization.

1307981268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30997 (or 30992 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1307981268 is about 36166.0236686313. The cubic root of 1307981268 is about 1093.6218403392.

The spelling of 1307981268 in words is "one billion, three hundred seven million, nine hundred eighty-one thousand, two hundred sixty-eight".