8213520 has 80 divisors (see below), whose sum is σ = 29105280. Its totient is φ = 1876992.

The previous prime is 8213503. The next prime is 8213531. The reversal of 8213520 is 253128.

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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (363816).

Almost surely, 2^8213520 is an apocalyptic number.

8213520 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 8213520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552640).

8213520 is an abundant number, since it is smaller than the sum of its proper divisors (20891760).

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

8213520 is a wasteful number, since it uses less digits than its factorization.

8213520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8213520 is about 2865.9239347896. The cubic root of 8213520 is about 201.7637338270.

Adding to 8213520 its reverse (253128), we get a palindrome (8466648).

The spelling of 8213520 in words is "eight million, two hundred thirteen thousand, five hundred twenty".