8285520 has 160 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 1976832.

The previous prime is 8285513. The next prime is 8285527. The reversal of 8285520 is 255828.

It is an interprime number because it is at equal distance from previous prime (8285513) and next prime (8285527).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8285527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104841 + ... + 104919.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 2^8285520 is an apocalyptic number.

8285520 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 8285520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

8285520 is an abundant number, since it is smaller than the sum of its proper divisors (20284080).

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

8285520 is a wasteful number, since it uses less digits than its factorization.

8285520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 8285520 is about 2878.4579204845. The cubic root of 8285520 is about 202.3515754317.

The spelling of 8285520 in words is "eight million, two hundred eighty-five thousand, five hundred twenty".