8251160832 has 108 divisors (see below), whose sum is σ = 23826182380. Its totient is φ = 2746220544.

The previous prime is 8251160821. The next prime is 8251160887. The reversal of 8251160832 is 2380611528.

It is a happy number.

8251160832 is a `hidden beast` number, since 8 + 2 + 5 + 11 + 608 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2001309696 + 6249851136 = 44736^2 + 79056^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 1769448 + ... + 1774104.

Almost surely, 2^8251160832 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 8251160832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11913091190).

8251160832 is an abundant number, since it is smaller than the sum of its proper divisors (15575021548).

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

8251160832 is a wasteful number, since it uses less digits than its factorization.

8251160832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8251160832 is about 90835.9005680023. The cubic root of 8251160832 is about 2020.7147775985.

The spelling of 8251160832 in words is "eight billion, two hundred fifty-one million, one hundred sixty thousand, eight hundred thirty-two".