8240282176 has 63 divisors (see below), whose sum is σ = 19033234857. Its totient is φ = 3529370880.

The previous prime is 8240282153. The next prime is 8240282179. The reversal of 8240282176 is 6712820428.

The square root of 8240282176 is 90776.

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., 6332339776 + 1907942400 = 79576^2 + 43680^2 .

It is not an unprimeable number, because it can be changed into a prime (8240282179) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5082646 + ... + 5084266.

It is an arithmetic number, because the mean of its divisors is an integer number (302114839).

Almost surely, 2^8240282176 is an apocalyptic number.

8240282176 is the 90776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8240282176

8240282176 is an abundant number, since it is smaller than the sum of its proper divisors (10792952681).

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

8240282176 is an frugal number, since it uses more digits than its factorization.

8240282176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The cubic root of 8240282176 is about 2019.8263236623.

The spelling of 8240282176 in words is "eight billion, two hundred forty million, two hundred eighty-two thousand, one hundred seventy-six".