8385640 has 32 divisors (see below), whose sum is σ = 19521000. Its totient is φ = 3238144.

The previous prime is 8385589. The next prime is 8385649. The reversal of 8385640 is 465838.

It can be written as a sum of positive squares in 4 ways, for example, as 8328996 + 56644 = 2886^2 + 238^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8385596 and 8385605.

It is not an unprimeable number, because it can be changed into a prime (8385649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2455 + ... + 4774.

Almost surely, 2^8385640 is an apocalyptic number.

It is an amenable number.

8385640 is an abundant number, since it is smaller than the sum of its proper divisors (11135360).

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

8385640 is a wasteful number, since it uses less digits than its factorization.

8385640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 8385640 is about 2895.7969542079. The cubic root of 8385640 is about 203.1633683734.

It can be divided in two parts, 8385 and 640, that added together give a square (9025 = 95²).

The spelling of 8385640 in words is "eight million, three hundred eighty-five thousand, six hundred forty".