8032640625 has 63 divisors (see below), whose sum is σ = 14564129983. Its totient is φ = 4266150000.

The previous prime is 8032640617. The next prime is 8032640663. The reversal of 8032640625 is 5260462308.

The square root of 8032640625 is 89625.

It is a perfect power (a square), and thus also a powerful number.

8032640625 is a `hidden beast` number, since 8 + 0 + 3 + 2 + 640 + 6 + 2 + 5 = 666.

8032640625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7037364321 + 995276304 = 83889^2 + 31548^2 .

It is not a de Polignac number, because 8032640625 - 2³ = 8032640617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8032640625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33609256 + ... + 33609494.

Almost surely, 2^8032640625 is an apocalyptic number.

8032640625 is the 89625-th square number.

8032640625 is the 44813-rd centered octagonal number.

It is an amenable number.

8032640625 is a deficient number, since it is larger than the sum of its proper divisors (6531489358).

8032640625 is an frugal number, since it uses more digits than its factorization.

8032640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The cubic root of 8032640625 is about 2002.7163611043.

Multiplying 8032640625 by its sum of digits (36), we get a square (289175062500 = 537750²).

The spelling of 8032640625 in words is "eight billion, thirty-two million, six hundred forty thousand, six hundred twenty-five".