8219520 has 96 divisors (see below), whose sum is σ = 28402920. Its totient is φ = 2190336.

The previous prime is 8219509. The next prime is 8219521. The reversal of 8219520 is 259128.

8219520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5047 + ... + 6473.

Almost surely, 2^8219520 is an apocalyptic number.

8219520 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 8219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14201460).

8219520 is an abundant number, since it is smaller than the sum of its proper divisors (20183400).

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

8219520 is a wasteful number, since it uses less digits than its factorization.

8219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8219520 is about 2866.9705265314. The cubic root of 8219520 is about 201.8128515315.

It can be divided in two parts, 82195 and 20, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 8219520 in words is "eight million, two hundred nineteen thousand, five hundred twenty".