5280320 has 56 divisors (see below), whose sum is σ = 13030200. Its totient is φ = 2035712.

The previous prime is 5280277. The next prime is 5280329. The reversal of 5280320 is 230825.

5280320 = T₃₀₄ + T₃₀₅ + ... + T₃₉₀.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 5161984 = 344^2 + 2272^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5280292 and 5280301.

It is not an unprimeable number, because it can be changed into a prime (5280329) 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, 8996 + ... + 9564.

Almost surely, 2^5280320 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 5280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515100).

5280320 is an abundant number, since it is smaller than the sum of its proper divisors (7749880).

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

5280320 is a wasteful number, since it uses less digits than its factorization.

5280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

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

The square root of 5280320 is about 2297.8946886226. The cubic root of 5280320 is about 174.1352715656.

The spelling of 5280320 in words is "five million, two hundred eighty thousand, three hundred twenty".