8024720 has 60 divisors (see below), whose sum is σ = 20532540. Its totient is φ = 2914560.

The previous prime is 8024711. The next prime is 8024729. The reversal of 8024720 is 274208.

It is an interprime number because it is at equal distance from previous prime (8024711) and next prime (8024729).

It can be written as a sum of positive squares in 2 ways, for example, as 3748096 + 4276624 = 1936^2 + 2068^2 .

It is a super-2 number, since 2×8024720² = 128792262156800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8024729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9266 + ... + 10094.

It is an arithmetic number, because the mean of its divisors is an integer number (342209).

Almost surely, 2^8024720 is an apocalyptic number.

8024720 is a gapful number since it is divisible by the number (80) 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 8024720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10266270).

8024720 is an abundant number, since it is smaller than the sum of its proper divisors (12507820).

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

8024720 is a wasteful number, since it uses less digits than its factorization.

8024720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 8024720 is about 2832.7936740963. The cubic root of 8024720 is about 200.2057881835.

Adding to 8024720 its reverse (274208), we get a palindrome (8298928).

The spelling of 8024720 in words is "eight million, twenty-four thousand, seven hundred twenty".