8134528960 has 112 divisors (see below), whose sum is σ = 20295290880. Its totient is φ = 3101598720.

The previous prime is 8134528937. The next prime is 8134529009. The reversal of 8134528960 is 698254318.

It is a super-2 number, since 2×8134528960² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8134528960.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 658521 + ... + 670759.

Almost surely, 2^8134528960 is an apocalyptic number.

8134528960 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 8134528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10147645440).

8134528960 is an abundant number, since it is smaller than the sum of its proper divisors (12160761920).

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

8134528960 is a wasteful number, since it uses less digits than its factorization.

8134528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12354 (or 12344 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 8134528960 is about 90191.6235578449. The cubic root of 8134528960 is about 2011.1484868182.

The spelling of 8134528960 in words is "eight billion, one hundred thirty-four million, five hundred twenty-eight thousand, nine hundred sixty".