1307768 has 48 divisors (see below), whose sum is σ = 3096240. Its totient is φ = 506880.

The previous prime is 1307767. The next prime is 1307771. The reversal of 1307768 is 8677031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6680 + ... + 6872.

It is an arithmetic number, because the mean of its divisors is an integer number (64505).

2^1307768 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 1307768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548120).

1307768 is an abundant number, since it is smaller than the sum of its proper divisors (1788472).

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

1307768 is a wasteful number, since it uses less digits than its factorization.

1307768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 1307768 is about 1143.5768448163. The cubic root of 1307768 is about 109.3562398300.

The spelling of 1307768 in words is "one million, three hundred seven thousand, seven hundred sixty-eight".