8251328340 has 72 divisors (see below), whose sum is σ = 25258713480. Its totient is φ = 2180162304.

The previous prime is 8251328339. The next prime is 8251328347. The reversal of 8251328340 is 438231528.

8251328340 is a `hidden beast` number, since 82 + 513 + 28 + 3 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17943696 + 8233384644 = 4236^2 + 90738^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8251328295 and 8251328304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8251328347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190659 + ... + 229898.

It is an arithmetic number, because the mean of its divisors is an integer number (350815465).

Almost surely, 2^8251328340 is an apocalyptic number.

It is an amenable number.

8251328340 is an abundant number, since it is smaller than the sum of its proper divisors (17007385140).

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

8251328340 is a wasteful number, since it uses less digits than its factorization.

8251328340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420681 (or 420676 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8251328340 is about 90836.8225996484. The cubic root of 8251328340 is about 2020.7284517795.

Adding to 8251328340 its reverse (438231528), we get a palindrome (8689559868).

The spelling of 8251328340 in words is "eight billion, two hundred fifty-one million, three hundred twenty-eight thousand, three hundred forty".