8209631232 has 360 divisors, whose sum is σ = 27019342350. Its totient is φ = 2481684480.

The previous prime is 8209631231. The next prime is 8209631249. The reversal of 8209631232 is 2321369028.

It can be written as a sum of positive squares in only one way, i.e., 5309162496 + 2900468736 = 72864^2 + 53856^2 .

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 (8209631231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20072244 + ... + 20072652.

Almost surely, 2^8209631232 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 8209631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509671175).

8209631232 is an abundant number, since it is smaller than the sum of its proper divisors (18809711118).

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

8209631232 is a wasteful number, since it uses less digits than its factorization.

8209631232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 8209631232 is about 90607.0153575318. The cubic root of 8209631232 is about 2017.3188649031.

The spelling of 8209631232 in words is "eight billion, two hundred nine million, six hundred thirty-one thousand, two hundred thirty-two".