845648 has 20 divisors (see below), whose sum is σ = 1735380. Its totient is φ = 397824.

The previous prime is 845623. The next prime is 845653. The reversal of 845648 is 846548.

845648 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 2 ways, for example, as 399424 + 446224 = 632^2 + 668^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 845648.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1283 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (86769).

2⁸⁴⁵⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

845648 is an abundant number, since it is smaller than the sum of its proper divisors (889732).

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

845648 is a wasteful number, since it uses less digits than its factorization.

845648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3128 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 845648 is about 919.5912135291. The cubic root of 845648 is about 94.5648799067.

Subtracting 845648 from its reverse (846548), we obtain a square (900 = 30²).

The spelling of 845648 in words is "eight hundred forty-five thousand, six hundred forty-eight".