1007680 has 56 divisors (see below), whose sum is σ = 2487168. Its totient is φ = 388608.

The previous prime is 1007651. The next prime is 1007681. The reversal of 1007680 is 867001.

It is not an unprimeable number, because it can be changed into a prime (1007681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15007 + ... + 15073.

2^1007680 is an apocalyptic number.

1007680 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 1007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243584).

1007680 is an abundant number, since it is smaller than the sum of its proper divisors (1479488).

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

1007680 is an equidigital number, since it uses as much as digits as its factorization.

1007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1007680 is about 1003.8326553764. The cubic root of 1007680 is about 100.2553474220.

Adding to 1007680 its product of nonzero digits (336), we get a square (1008016 = 1004²).

The spelling of 1007680 in words is "one million, seven thousand, six hundred eighty".