8020240 has 40 divisors (see below), whose sum is σ = 19295640. Its totient is φ = 3096576.

The previous prime is 8020237. The next prime is 8020241. The reversal of 8020240 is 420208.

8020240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 8020224 = 4^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (8020241) 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, 592 + ... + 4048.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^8020240 is an apocalyptic number.

8020240 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 8020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647820).

8020240 is an abundant number, since it is smaller than the sum of its proper divisors (11275400).

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

8020240 is a wasteful number, since it uses less digits than its factorization.

8020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 8020240 is about 2832.0028248573. The cubic root of 8020240 is about 200.1685246240.

Subtracting from 8020240 its sum of digits (16), we obtain a square (8020224 = 2832²).

Adding to 8020240 its reverse (420208), we get a palindrome (8440448).

The spelling of 8020240 in words is "eight million, twenty thousand, two hundred forty".