8385520 has 80 divisors (see below), whose sum is σ = 22936032. Its totient is φ = 2810880.

The previous prime is 8385511. The next prime is 8385521. The reversal of 8385520 is 255838.

8385520 = 488² + 489² + ... + 520².

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8385521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11074 + ... + 11806.

Almost surely, 2^8385520 is an apocalyptic number.

8385520 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 8385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468016).

8385520 is an abundant number, since it is smaller than the sum of its proper divisors (14550512).

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

8385520 is a wasteful number, since it uses less digits than its factorization.

8385520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 8385520 is about 2895.7762344491. The cubic root of 8385520 is about 203.1623992675.

The spelling of 8385520 in words is "eight million, three hundred eighty-five thousand, five hundred twenty".