8211761260 has 96 divisors (see below), whose sum is σ = 18754001280. Its totient is φ = 3008102400.

The previous prime is 8211761237. The next prime is 8211761263. The reversal of 8211761260 is 621671128.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (8211761263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8935081 + ... + 8935999.

It is an arithmetic number, because the mean of its divisors is an integer number (195354180).

Almost surely, 2^8211761260 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 8211761260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377000640).

8211761260 is an abundant number, since it is smaller than the sum of its proper divisors (10542240020).

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

8211761260 is a wasteful number, since it uses less digits than its factorization.

8211761260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 8211761260 is about 90618.7688064675. The cubic root of 8211761260 is about 2017.4933174852.

The spelling of 8211761260 in words is "eight billion, two hundred eleven million, seven hundred sixty-one thousand, two hundred sixty".