2007320 has 64 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 671616.

The previous prime is 2007307. The next prime is 2007329. The reversal of 2007320 is 237002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2007295 and 2007304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18707 + ... + 18813.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

2^2007320 is an apocalyptic number.

2007320 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 2007320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

2007320 is an abundant number, since it is smaller than the sum of its proper divisors (3280360).

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

2007320 is a wasteful number, since it uses less digits than its factorization.

2007320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 2007320 is about 1416.7992094859. The cubic root of 2007320 is about 126.1456282113.

2007320 divided by its sum of digits (14) gives a triangular number (143380 = T₅₃₅).

The spelling of 2007320 in words is "two million, seven thousand, three hundred twenty".