8213941260 has 288 divisors, whose sum is σ = 29059430400. Its totient is φ = 1839352320.

The previous prime is 8213941249. The next prime is 8213941261. The reversal of 8213941260 is 621493128.

8213941260 is a `hidden beast` number, since 8 + 2 + 1 + 394 + 1 + 260 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8213941261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17817430 + ... + 17817890.

It is an arithmetic number, because the mean of its divisors is an integer number (100900800).

Almost surely, 2^8213941260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8213941260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529715200).

8213941260 is an abundant number, since it is smaller than the sum of its proper divisors (20845489140).

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

8213941260 is a wasteful number, since it uses less digits than its factorization.

8213941260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8213941260 is about 90630.7964215255. The cubic root of 8213941260 is about 2017.6718316169.

The spelling of 8213941260 in words is "eight billion, two hundred thirteen million, nine hundred forty-one thousand, two hundred sixty".