1307691440 has 80 divisors (see below), whose sum is σ = 3349848096. Its totient is φ = 470784000.

The previous prime is 1307691439. The next prime is 1307691479. The reversal of 1307691440 is 441967031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1307691440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81524 + ... + 96236.

Almost surely, 2^1307691440 is an apocalyptic number.

1307691440 is a gapful number since it is divisible by the number (10) 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 1307691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674924048).

1307691440 is an abundant number, since it is smaller than the sum of its proper divisors (2042156656).

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

1307691440 is a wasteful number, since it uses less digits than its factorization.

1307691440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14838 (or 14832 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 1307691440 is about 36162.0165366922. The cubic root of 1307691440 is about 1093.5410579272.

The spelling of 1307691440 in words is "one billion, three hundred seven million, six hundred ninety-one thousand, four hundred forty".