8201520 has 80 divisors (see below), whose sum is σ = 28257120. Its totient is φ = 2186496.

The previous prime is 8201513. The next prime is 8201527. The reversal of 8201520 is 251028.

It is an interprime number because it is at equal distance from previous prime (8201513) and next prime (8201527).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 8201493 and 8201502.

It is not an unprimeable number, because it can be changed into a prime (8201527) 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 15 ways as a sum of consecutive naturals, for example, 262 + ... + 4058.

It is an arithmetic number, because the mean of its divisors is an integer number (353214).

Almost surely, 2^8201520 is an apocalyptic number.

8201520 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 8201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128560).

8201520 is an abundant number, since it is smaller than the sum of its proper divisors (20055600).

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

8201520 is a wasteful number, since it uses less digits than its factorization.

8201520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8201520 is about 2863.8296038696. The cubic root of 8201520 is about 201.6654266102.

Adding to 8201520 its reverse (251028), we get a palindrome (8452548).

The spelling of 8201520 in words is "eight million, two hundred one thousand, five hundred twenty".