8270811136 has 195 divisors, whose sum is σ = 19983345161. Its totient is φ = 3422404608.

The previous prime is 8270811079. The next prime is 8270811139. The reversal of 8270811136 is 6311180728.

The square root of 8270811136 is 90944.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4337012736 + 3933798400 = 65856^2 + 62720^2 .

It is a super-2 number, since 2×8270811136² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8270811095 and 8270811104.

It is not an unprimeable number, because it can be changed into a prime (8270811139) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 285200370 + ... + 285200398.

Almost surely, 2^8270811136 is an apocalyptic number.

8270811136 is the 90944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8270811136

8270811136 is an abundant number, since it is smaller than the sum of its proper divisors (11712534025).

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

8270811136 is an frugal number, since it uses more digits than its factorization.

8270811136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The cubic root of 8270811136 is about 2022.3176300373.

The spelling of 8270811136 in words is "eight billion, two hundred seventy million, eight hundred eleven thousand, one hundred thirty-six".