2008320 has 72 divisors (see below), whose sum is σ = 6426336. Its totient is φ = 534528.

The previous prime is 2008313. The next prime is 2008327. The reversal of 2008320 is 238002.

It is an interprime number because it is at equal distance from previous prime (2008313) and next prime (2008327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2008320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008327) 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, 3579 + ... + 4101.

2^2008320 is an apocalyptic number.

2008320 is a gapful number since it is divisible by the number (20) 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 2008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213168).

2008320 is an abundant number, since it is smaller than the sum of its proper divisors (4418016).

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

2008320 is an equidigital number, since it uses as much as digits as its factorization.

2008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2008320 is about 1417.1520737027. The cubic root of 2008320 is about 126.1665723369.

The spelling of 2008320 in words is "two million, eight thousand, three hundred twenty".