1008320 has 56 divisors (see below), whose sum is σ = 2523744. Its totient is φ = 382976.

The previous prime is 1008317. The next prime is 1008323. The reversal of 1008320 is 238001.

It is an interprime number because it is at equal distance from previous prime (1008317) and next prime (1008323).

It is a junction number, because it is equal to n+sod(n) for n = 1008295 and 1008304.

It is not an unprimeable number, because it can be changed into a prime (1008323) 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, 7292 + ... + 7428.

2^1008320 is an apocalyptic number.

1008320 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 1008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261872).

1008320 is an abundant number, since it is smaller than the sum of its proper divisors (1515424).

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

1008320 is a wasteful number, since it uses less digits than its factorization.

1008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1008320 is about 1004.1513830096. The cubic root of 1008320 is about 100.2765677311.

The spelling of 1008320 in words is "one million, eight thousand, three hundred twenty".