1307680 has 48 divisors (see below), whose sum is σ = 3374784. Its totient is φ = 474880.

The previous prime is 1307671. The next prime is 1307689. The reversal of 1307680 is 867031.

It is an interprime number because it is at equal distance from previous prime (1307671) and next prime (1307689).

It is not an unprimeable number, because it can be changed into a prime (1307689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1389 + ... + 2131.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2^1307680 is an apocalyptic number.

1307680 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 1307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392).

1307680 is an abundant number, since it is smaller than the sum of its proper divisors (2067104).

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

1307680 is a wasteful number, since it uses less digits than its factorization.

1307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1307680 is about 1143.5383683987. The cubic root of 1307680 is about 109.3537869064.

The spelling of 1307680 in words is "one million, three hundred seven thousand, six hundred eighty".