5208320 has 72 divisors (see below), whose sum is σ = 13478136. Its totient is φ = 1916928.

The previous prime is 5208293. The next prime is 5208367. The reversal of 5208320 is 238025.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 4946176 = 512^2 + 2224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5208292 and 5208301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16484 + ... + 16796.

Almost surely, 2^5208320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739068).

5208320 is an abundant number, since it is smaller than the sum of its proper divisors (8269816).

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

5208320 is a wasteful number, since it uses less digits than its factorization.

5208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5208320 is about 2282.1744017493. The cubic root of 5208320 is about 173.3401706705.

It can be divided in two parts, 520 and 8320, that multiplied together give a square (4326400 = 2080²).

The spelling of 5208320 in words is "five million, two hundred eight thousand, three hundred twenty".