848032641 has 27 divisors (see below), whose sum is σ = 1303512483. Its totient is φ = 531167040.

The previous prime is 848032639. The next prime is 848032649. The reversal of 848032641 is 146230848.

The square root of 848032641 is 29121.

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

848032641 is a `hidden beast` number, since 8 + 4 + 8 + 0 + 3 + 2 + 641 = 666.

848032641 is digitally balanced in base 2, 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 only one way, i.e., 660233025 + 187799616 = 25695^2 + 13704^2 .

It is not a de Polignac number, because 848032641 - 2¹ = 848032639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 848032596 and 848032605.

It is not an unprimeable number, because it can be changed into a prime (848032649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1484886 + ... + 1485456.

Almost surely, 2^848032641 is an apocalyptic number.

848032641 is the 29121-st square number.

848032641 is the 14561-st centered octagonal number.

It is an amenable number.

848032641 is a deficient number, since it is larger than the sum of its proper divisors (455479842).

848032641 is an equidigital number, since it uses as much as digits as its factorization.

848032641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The cubic root of 848032641 is about 946.5368425394.

Multiplying 848032641 by its sum of digits (36), we get a square (30529175076 = 174726²).

Multiplying 848032641 by its product of nonzero digits (36864), we get a square (31261875277824 = 5591232²).

The spelling of 848032641 in words is "eight hundred forty-eight million, thirty-two thousand, six hundred forty-one".