8213609520 has 160 divisors (see below), whose sum is σ = 28384611840. Its totient is φ = 2183074560.

The previous prime is 8213609501. The next prime is 8213609549. The reversal of 8213609520 is 259063128.

8213609520 is a `hidden beast` number, since 8 + 21 + 3 + 609 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665647 + ... + 677873.

It is an arithmetic number, because the mean of its divisors is an integer number (177403824).

Almost surely, 2^8213609520 is an apocalyptic number.

8213609520 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 8213609520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192305920).

8213609520 is an abundant number, since it is smaller than the sum of its proper divisors (20171002320).

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

8213609520 is a wasteful number, since it uses less digits than its factorization.

8213609520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12560 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8213609520 is about 90628.9662304497. The cubic root of 8213609520 is about 2017.6446683895.

The spelling of 8213609520 in words is "eight billion, two hundred thirteen million, six hundred nine thousand, five hundred twenty".