5310720 has 108 divisors (see below), whose sum is σ = 18414396. Its totient is φ = 1413120.

The previous prime is 5310707. The next prime is 5310727. The reversal of 5310720 is 270135.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 3504384 = 1344^2 + 1872^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5310693 and 5310702.

It is not an unprimeable number, because it can be changed into a prime (5310727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11290 + ... + 11750.

Almost surely, 2^5310720 is an apocalyptic number.

It is a pronic number, being equal to 2304×2305.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207198).

5310720 is an abundant number, since it is smaller than the sum of its proper divisors (13103676).

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

5310720 is a wasteful number, since it uses less digits than its factorization.

5310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5310720 is about 2304.4999457583. The cubic root of 5310720 is about 174.4688110475.

Adding to 5310720 its reverse (270135), we get a palindrome (5580855).

The spelling of 5310720 in words is "five million, three hundred ten thousand, seven hundred twenty".