8640135 has 64 divisors (see below), whose sum is σ = 18063360. Its totient is φ = 3836160.

The previous prime is 8640133. The next prime is 8640161. The reversal of 8640135 is 5310468.

8640135 is a `hidden beast` number, since 8 + 640 + 13 + 5 = 666.

8640135 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8640135 - 2¹ = 8640133 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

8640135 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8640099 and 8640108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8640133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38634 + ... + 38856.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 2^8640135 is an apocalyptic number.

8640135 is an abundant number, since it is smaller than the sum of its proper divisors (9423225).

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

8640135 is a wasteful number, since it uses less digits than its factorization.

8640135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8640135 is about 2939.4106552165. The cubic root of 8640135 is about 205.1981823306.

It can be divided in two parts, 86401 and 35, that added together give a square (86436 = 294²).

The spelling of 8640135 in words is "eight million, six hundred forty thousand, one hundred thirty-five".