8214526080 has 192 divisors, whose sum is σ = 29344512600. Its totient is φ = 2114961408.

The previous prime is 8214526057. The next prime is 8214526087. The reversal of 8214526080 is 806254128.

8214526080 is a `hidden beast` number, since 8 + 2 + 1 + 45 + 2 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5524651584 + 2689874496 = 74328^2 + 51864^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 (8214526087) 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 23 ways as a sum of consecutive naturals, for example, 142452 + ... + 191628.

Almost surely, 2^8214526080 is an apocalyptic number.

8214526080 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 8214526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14672256300).

8214526080 is an abundant number, since it is smaller than the sum of its proper divisors (21129986520).

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

8214526080 is a wasteful number, since it uses less digits than its factorization.

8214526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49231 (or 49216 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8214526080 is about 90634.0227508412. The cubic root of 8214526080 is about 2017.7197155255.

The spelling of 8214526080 in words is "eight billion, two hundred fourteen million, five hundred twenty-six thousand, eighty".